Introduction
The Department of Mathematics at the University of the Punjab is one of the university’s oldest aca- demic units, founded in 1921. Over the years, it has produced numerous distinguished graduates, many of whom have gained prominence in Mathematics. For a considerable period, the department operated on an inter-collegiate basis, with faculty members from local institutions such as Government College Lahore, Forman Christian College, Dyal Singh College, Islamia College Civil Lines, and M.A.O. College, Lahore, conducting M.Sc. classes at the university. In 1956, the department became an independent institution with the appointment of two full-time faculty members: one reader and one senior lecturer. Since then, the department has steadily grown and now offers a range of programs, including BS (4 years), BS (5 semesters), M.Phil., and Ph.D. In 1982, the department established a computer center to enhance the computational capabilities of uni- versity students, faculty, and staff. Furthermore, the Department of Mathematics publishes the Punjab University Journal ofMathematics, with its inaugural issue released in 1967 under the editorship of Prof. Dr. Syed Manzur Hussain. The department is home to four robust research groups: Computational Mathematics, Fuzzy Mathematics, Gravitation & Cosmology, and Pure Mathematics. These groups contribute to the academic strength of the department, fostering innovation and advancing knowledge in their respective fields.
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Vision, Mission Statement and Goals
Teaching Faculty
Administrative Staff
Dr. Sumaira Hussain
Senior Librarian Mr. Shafqat Ali Private Secretary Mr. Faheem Waqas Administrative Officer Mr. Parvaiz Akhtar Graphic Designer Programs
Computer Short Courses
SYLLABI OF BS MATHEMATICS (4 YEARS) (Enforced From Fall 2024 and Onwards) BS Mathematics (Morning) (After 2 Years ADP Mathematics) BS Mathematics (Self-Supporting) (After 2 Years ADP Mathematics) BS Mathematics (Morning and Self-Supporting) M.Phil Mathematics Ph.D Mathematics Fall / Spring Semester Publications/ Research / BooksLast Three Year Articles Year: 2015 1- Prof. Dr. Muhammad Sharif and Rabia Saleem,; Dynamics of Warm Inflation With Gauge Fields in Bianchi Type I Univrse Model, Astropart. Phys., 62, 2015 2- Prof. Dr. Muhammad Sharif and Rabia Saleem,; Warm Anisotropic Inflation With Bulk Viscous Pressure inIntermediate Era , Astropart. Phys., 62, 2015 3- Prof. Dr. Muhammad Sharif and Ayesha Ikram,; Wormholes Supprted by f(G) Gravity, Int. J. Mod. Phys. D, 24, 2015 4- Prof. Dr. Muhammad Sharif and Dr. Muhammad Zaeem ul Haq Bhatti,; Structure Scalars and Super-Poynting Vector of Tilted Szekeres Geometry, Int. J. Mod. Phys. D, 24, 2015 5- Prof. Dr. Muhammad Sharif and Rubab Manzoor,; Structure Scalars and Anisotropic Spheres in Brans- Dicke Gravity , Phys. Rev.D, 91, 2015 6- Prof. Dr. Muhammad Sharif and Saima Jabbar,; Phase Space Analysis and Anisotropic Univerae Model in f(T) Gravity, Commun. Theor. Phys., 63, 2015 7- Prof. Dr. Muhammad Sharif and Dr. Zeeshan Yousaf,; Stability of Reggular Energy Density in Palatini f (R) Gravity, Eur. Phys. J.C., 75, 2015 8- Prof. Dr. Muhammad Sharif and Iqra Nawazish,; Some Exact Anisotropic Solutions via Noether Symmetry in f (R) Gravity , J.Exp. Theor. Phys., 120, 2015 9- Prof. Dr. Muhammad Sharif and Dr. Zeeshan Yousaf,; Role of Adiabatic Index on the Evolution of Spherical Gravitational Collapse in Palatini f (R) Gravity, Astrophys. Space Sci., 357, 2015 10- Prof. Dr. Muhammad Sharif and Dr. Muhammad Zaeem ul Haq Bhatti,; Stability of Expansion- free Charged Planar Geometry, Astrophys. Space Sci., 355, 2015 11- Prof. Dr. Muhammad Sharif and Sehrish Iftikhar,; Dynamics of Scalar Thin- Shell for a Class of Regular Back Holes , Astrophys. Space Sci., 356, 2015 12- Prof. Dr. Muhammad Sharif and Sehrish Iftihar,; Polytropic Thin- Shell Collapse in Non- Commutative d- Dimensional Reissner- Nordstrom Geometry, Astrophys. Space Sci., 356, 2015 13- Prof. Dr. Muhammad Sharif and Dr. Zeeshan Yousaf,; Dynamics of Relativistic Fluids With Structure Scalars and \epsilon R^2 Cosmology, Gen. Relative. Gravit, 47, 2015 14- Prof. Dr. Muhammad Sharif and Dr. Zeeshan Yousaf,; Radiating Cylindrical Gravitational Collapse with Structure Scalars in f(R) Gravity, Astrophys. Space Sci., 357, 2015 15- Prof. Dr. Muhammad Sharif and Rabia Saleem,; Analysis of Anisotropic Universe Model via Noether Symmetry with Scalar and Vector Fields , Astrophys. Space Sci., 357, 2015 16- Prof. Dr. Muhammad Sharif and Sehrish Iftikhar,; Charged Dissipative Collapse of shearing Viscous Star , Astrophys. Space Sci., 357, 2015 17- Prof. Dr. Muhammad Sharif and Shrish Iftikhar,; Strong Gravitational Lensing in Non- Commutative Wormholes , Astrophys. Space Sci., 357, 2015 18- Prof. Dr. Muhammad Sharif and Zunaira Naisr,; Expansion-free Axial Dissipative Fluids in f (R) Gravity, Astrophys. Space Sci., 357, 2015 19- Prof. Dr. Muhammad Sharif and Dr. Zeeshan Yousaf,; Instability of Meridional Axial System in f (R)Garvity, Eur. Phys. J.C., 75, 2015 20- Prof. Dr. Muhammad Sharif and Sehrish Iftikhar,; Null Geodesics and Strong Field Gravitational Lensing in a String Cloud Background , Advances High Energy Phys., 2015, 2015 21- Prof. Dr. Muhammad Sharif and Sidra Mohsaneen,; Inhomogeneous Viscous Fluid in Anisotropic Inflationary Universe , Astrophys. Space Sci., 357, 2015 22- Prof. Dr. Muhammad Sharif and Rabia Saleem,; Inflationary Study of Intermediate Modified Chaplygin Gas With Bulk Viscous Pressure, Mon.Notices Roy.Astron. Soc., 450, 2015 23- Prof. Dr. Muhammad Sharif and Dr. Muhammad Zaeem ul Haq Bhatti,; Dynamics of Charged Planar Geometry in Tilted and Non- Tilted Frames, J. Exp.Theor. Phys., 120, 2015 24- Porf. Dr. Muhammad Sharif and Zunaiar Nasir,; Structure Scalars in Dissipative Axial Collapse in f(R) Gravity, Gen. Relativ. Gravit., 47, 2015 25- Prof. Dr. Muhammad Shairf and Shamaaila Rani,; Dynamical Instability of Expansion -free Collapse in f(T) Gravity, Int. J. Theor. Phys, 54, 2015 26- Prof. Dr. Muhammad Sharif and Dr. Muhammad Zaeem ul Haq Bhatti,; Role of Bulk Viscosity and Electromagnetic Field on the Stability of Collapsing Cylinder, Int. J. Theor. Phys, 54, 2015 27- Prof. Dr. Muhammad Sharif and Zunaira Nasir,; Evolution of Dissipative Anisotropic Expansion-free Axial Fluids, Commun. Theor. Phys., 64, 2015 28- Prof. Dr. Muhammad Sharif and Rubab Manzoor,; Structure Scalars an Cylindrical Systems in Bran-Dicke Gravity, Astro. Space Sci., 359, 2015 29- Prof. Dr. Muhammad Sharif and Rubab Manzoor,; Self-Gravitating Spherically Symmetric Fluid Models in Brans-Dicke Gravity, Gen. Relativ. Gravit., 47, 2015 30- Prof. Dr. Muhammad Sharif and Sehrish Iftikhar,; Corrigendum: Null Geodesics and Strong Field Gravitational Lensing in a String Cloud Background, Advances High Energy Phys., 2015, 2015 31- Prof. Dr. Muhammad Shairf and H. Ismat Fatima,; Noncommutative Wormhole Solutions in f(G) Gravity, Mod. Phys. Lett A, 30, 2015 32- Prof. Dr. Muhammad Sharif and Dr. Zeeshan Yousaf,; Dynamics of Spherical Stars with Structure Scalars and R+\epsilon R^n Cosmology, Can. J. Phys, 93, 2015 33- Prof. Dr. Muhammad Sharif and Sehrish Iftikhar,; Null Geodesics and Strong Field Gravitational Lensing of Black Hole with Global Monopole, Advances High Energy Phys., 2015, 2015 34- Prof. Dr. Muhammad Sharif and Sobia Sadiq,; Effects of Charge on Anisotropic Conformally Flat Polytropes, Can. J. Phys, 93, 2015 35- Prof. Dr. Muhammad Sharif and Dr. Muhammad Zaeem ul haq Bhatti,; Stability Analysis of Axial Reflection Symmetric Spacetime, Mon. Notices Roy. Astron. Soc., 455, 2015 36- Prof. Dr. Muhammad Sharif and Rabia Saleem,; General Dissipative Coefficient in Strong Anisotropic Inflation, Astrophys. Space Sci. , 360, 2015 37- Prof. Dr. Muhammad Shairf and Kanwal Nazir,; Cosmological Evolution of Generalized Ghost Pilgrim Dark Energy, Astrophys. Space Sci. , 360, 2015 38- Prof. Dr. Muhammad Sharif and Sobia Sadiq,; Conformally Flat Polytropes for Anistropic Cylinder Geometry, Can. J. Phys, 93, 2015 39- Prof. Dr. Muhammad Sharif and Dr. Abdul Jawad,; Thermodynamics with Entropy Correction in Kaluza-Klein Universe, Chinese J. Phys, 53, 2015 40- Prof. Dr. Malik Zawwar Hussain, Muhammad Sarfraz and Munza Ishaq,; Shape Designing of Engineering Images Using Rational Spline Interpolation, Advances in Material Science and Engineering, 2015, 2015 41- Prof. Dr. Malik Zawwar Hussain, Farheen Ibraheem and Akhlaq Ahmad Bhatti,; C1 Positive Surface Over Positive Scattered Data Sites , PLOS ONE, 10, 2015 42- Prof. Dr. Malik Zawwar Hussain , Maria Hussain, Amna Waseem and Moshayyadah Javaid,; G C1 Shape- Preserving Trigonometric Spline, Journal of Mathematical imaging and vision, 53 (1), 2015 43- Prof. Dr. Malik Zawwar Hussain, Muhammad Sarfraz and Farsia Hussain,; Shape Preserving Curves Using Quadratic Trigonometric Spline, Applied Mathematics and computation, 265, 2015 44- Prof. Dr. Malik Zawwar Hussain, Muhammad Sarfraz and Farsia Hussain,; Shape Preserving Positive Trigonometric, Proc. IEEE 19th international conference on information visualization, , 2015 45- Prof. Dr. Malik Zawwar Hussain , Misbah Irshad and Muhammad Sarfraz,; Reverse Engineering of Planer objects Using Imperialist Competitive Algorithm , Proc. IEEE 19th international conference on information visualization, , 2015 46- Prof. Dr. Malik Zawwar Hussain , Misban Irshad, Muhammad Sarfraz and Nousheen Zafar,; Interpolation of Discrete Time Signals Using Cubic Functions , Proc. IEEE 19th international conference on information visualization, , 2015 47- Prof. Dr. Muhammad Akram and Fariha Zafar,; On soft trees, Buletinul Academic de Stiinte a Republicii Moldova, 2, 2015 48- Prof. Dr. Muhammad Akram, A. Nagoorgani and S. Anupriya,; Double domination on intuitionistic fuzzy graphs, Journal of Applied Mathematics and Computing, 50, 2015 49- Prof. Dr. Muhammad Akram and Saira Nawaz,; Operations on soft graphs, Fuzzy Information and Engineering, 7(4), 2015 50- Prof. Dr. Muhammad Akram and Shaista, H,; Decision-making system for washing machine using AIFNN, Mathematical Sciences Letters, 4 (3), 2015 51- Prof. Dr. Muhammad Akram, Nagoor Gani and K. Prasanna Devi,; Bondage and non-bondage number of a fuzzy graph, International Journal of Pure and Applied Mathematics, 103 (2), 2015 52- Prof. Dr. Muhammad Akram and Muhammad Arif Buttt,; A novel fuzzy decision making system for cpu scheduling algorothm, Neural computing and Applications, , 2015 53- Prof.Dr.Muhammad Akram and Saira Nawaz,; On fuzzy soft graphs , Italian Journal of Pure and Applied Mathematics, 34, 2015 54- Prof.Dr.Muhammad Akram and N.O. AlShehire ,; Bipolar fuzzy competition graphs, , Ars Combinatoria, 121, 2015 55- Prof. Dr.Muhammad Akram and N.O. Al-Shehire,; Tempered interval- valued fuzzy Hypergraphs , Scientiic bulletin series a applied mathematics and physics, 77 (1), 2015 56- Prof. Dr.Muhammad Akram, A. Farooq, Borumand Saeid and K.P. Shum ,; Certain types of vague cycles and vague trees , Journal of Intelligent and Fuzzy Systems, 28 (2), 2015 57- Praf. Dr. Muhammad Akram , B. Dawaz, and F. Feng,; Fuzzy soft Lie algenras , Journal of multivalued valued and soft computing, 24( 5-6), 2015 58- Prof. Dr. Muhammad Akram, W.A. Dudek and Murtaza Yousaf,; Self centered interval-valued fuzzy graphs, Afrika Matematika, 26(5-6), 2015 59- Prof. Dr. Muhammad Akram, S. Samanata and M.Pal,; m- step fuzzy competition graphs, Journal of Applied Mathematics and Computing, 47 (1-2), 2015 60- Dr. Muhammas Aslam Malik and Muhammad Touqeer,; Fuzzy hyper p-ideals of hyper BCK-algebras, Filomat, 29(8), 2015 61- Dr. Muhammas Aslam Malik and Muhammad Touqeer,; Some results on fuzzy hyper BCK-ideals of hyper BCK- algebras, Indian Journal of Science and Technology, 8(S3), 2015 62- Dr. Muhammas Aslam Malik and Muhammad Touqeer,; Soft h-ideals of soft BCI-algebras, Indian Journal of Science and Technology, 8(S3), 2015 63- Dr. Muhammas Aslam Malik and Muhammad Touqeer,; On some properties of soft a-ideals, Journal of Applied Mathematics and Informatics, 33, 2015 64- Dr. Muhammas Aslam Malik and Muhammad Touqeer,; Soft BCI-positive implicative ideals of soft BCI-algebras, Sci. Math. Jpn., 28, 2015 65- Dr. Muhammas Aslam Malik and Muhammad Touqeer,; Fuzzy hyper BCK-implicative ideals of hyper BCK-algebras, Sci. Math. Jpn., 28, 2015 66- Dr. Ghazala Akram and Christian Beck,; Hierarchical Cascade Model Leading to 7-th Order Initial vaue Problem, Applied Numerical Mathematics, 91, 2015 67- Dr. Ghazala Akram ,; Solution of the System of Fifth Order Boundery value Problem Using Sextic Spline, Journal of Egyptian Mathematics with Applications, 23 (02), 2015 68- Dr. Daud Ahmad and Bilal Masud,; Near- stability of a quasi- minimal surface indicated through a tasted curvature algorithm , Computers and Mathemaitcs and Applications, 69 (10), 2015 69- Dr.Muhammad Khalid Mahmood and Farooq Ahmad,; A Classification of Cyclic Nodes and Enumeration of Components of a Class of Discrete Graphs , Applied Mathematics and Information Sciences, 09 (01), 2015 70- Dr. Muhammad Khalid Mahmood and Y.D. Khan,; A novel technique for the elucidation of linear and quadratic congruences, Pakistan Journal of Science, 67 (03), 2015 71- Dr. Muhammad Khalid Mahmood and Y.D. Khan,; An appraisal algorithm for tests of divisiblity using modular arthmetic, Pakistan Journal of Science, 67 (04), 2015 72- Dr.Aziz Ullah Awan, M. Imran, Madeeha Tahir and M. A. Imran,; Taylor- Cuette Flow of an Oldroyd- B Fluid in an Annulus Subject to a Time- depndent Rotation, American Journal of Applied Mathematics, 03 (3-1), 2015 73- Dr. Uzma Ahmad,; The power diagraphs associated with generalized dihedral groups, Discrete Mathematics, Alogrithms and Applications, 7 (04), 2015 74- Maasoomah Sadaf and Prof. Dr. Shahid S. Siddiqi,; Application of Non- polynomoal Spline to the Solution of Fofth Order Boundary value Problem in inducrion motor , Journal of Egyptian Mathematical Society, 23 (1), 2015 75- Dr. Saima Arshed and Prof. Dr. Shahid S. Siddiqi,; Numerical Solution of Time Fractional Fourth- Order Partial Differential Equations , International Journal of Computer Mathematics, 92 (07), 2015 Year: 2014 1- Prof. Dr. Muhammad Sharif
Abdul Jawad,; Dark energy model with generalized cosmological horizon, J.Exp. Theor. Phys., 119, 2014 2- Prof.Dr. Muhammad Sharif & Muhammad Zubair,; Study of Bianchi I anisotropic model in F (R,T) Gravity), Astrophys, Space Sci, 349, 2014 3- Prof. Dr. Muhammad Sharif
Rubab Manzoor,; Lemaitire-Tolman-Bondi dust cloud collapse in ans-dicke gravity, Mod. Phys. Lett. A, 29, 2014 4- Prof. Dr. Muhammad Sharif & Muhammad Zubair,; Reconstruction and stability of f (R,T) gravity with ricci and modified ricci dark energy, Astrophys, Space Sci, 349, 2014 5- Prof. Dr. Muhammad Sharif
Shamaila Rani,; Galactic halo wormhole solutions in f(T) gravity, Adv. High energy phys., 2014, 2014 6- Prof. Dr. Muhammad Sharif & Muhammad Azam,; Role of anisotropy in the expansion in free plane gravitational collapse, Gen. Relativ. Gravit, 46, 2014 7- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Energy density inhomogeneities in charged radiating stars with generalized CDTT model, Astrophys. Space Sci., 354, 2014 8- Prof. Dr. Muhammad Sharif & Muhamamd Zaeem ul Haq Bhatti,; Stability of the charged radiating cyulinder, Phys. Lett. A, 378, 2014 9- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Dynamical analysis of self gravitating stars in f(R,T) gravity, Astrophys. Space Sci., 354, 2014 10- Prof. Dr. Muhammad Sharif & Shamaila Rani,; Entropy corrected holographic dark energy f(T) gravity, Mod. Phys. Letta A, 29, 2014 11- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Dynamical analyisis of radiating spherical collapse in palatini f(R ) gravity, Astrophys. Space Sci., 354, 2014 12- Prof. Dr. Muahammad Sharif & Abdul Jawad,; Phantom like generalzied cosmic chaplygin Gas and Traversable wormhole solution, Eur. Phys. J, 129, 2014 13- Prof. Dr. Muhammad Sharif
Rubab Manzoor,; Stability of spherical star in brans dick gravity, Astrophys. Space Sci., 354, 2014 14- Prof. Dr. Muhammad Sharif & Rabia Saleem,; Warm anisotorpic inflationary universe mode, Eur. Phys. J. C, 74, 2014 15- Prof. Dr. Muhammad Sharif
Hafiza Ismat Fatima,; Thermodynamics with corrected entropies in f(G) gravity, Astrophys. Space Sci., 354, 2014 16- Prof.Dr. Muhammad Sharif & Imrana Shafique,; Magnetized anisotropic bianchi VI0 Cosmology in Brans -dicke gravi, Eur. Phys. J. Plus, 129, 2014 17- Prof. Dr. Muhammad Sharif
Rabia Saleem,; Effects of viscous pressure on warm inflationary generalzed cosmic ghaplygin gas model, J. Cosmol. Astropart. Phys., 12, 2014 18- Prof. Dr. Muhammad Shafrif & Muhammad Zaeem ul Haq Bhatti,; Charged static axial symmtric solutions and scalar structures, Astrophys. Space Sci., 349, 2014 19- Prof. Dr. Malik Zawwar Hussain
Munaza Ishaq and Muhammad Sarfraz,; Affine invariant shape recognition using spline interpolation, Punjab University Journal of Mathematics, 46(2), 2014 20- Prof. Dr. Muhammad Sharif & Saira Waheed,; Scalar tensor cosmoogy and GSLT with entopy corrections, Astrophys. Space Sci., 349, 2014 21- Dr. Muhammad Akram
Shaista Habib,; Neuro-uzzy control for heater fansusing ANFIS and NEFCON, Journal of advanced reseach in scientific computing, 6(2), 2014 22- Prof.Dr. Muhammad Sharif & Abdul Jawad,; Evolution of the universe with time varying constants, Chinese J. Phys., 52, 2014 23- Dr. Muhammad Akram
B. Davvaz and F. Feng,; Fuzzy soft lie algebras, Journal of multivalued valued and soft computing, 22(4), 2014 24- Prof. Dr. Muhammad Sharif
Sehrish Azeem,; Dark Energy Models and Cosmic Acceleration with Anisotropic Universe in f(T) Gravity, Commun. Theor. Phys., 61, 2014 25- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Electromagnetic Field and Dynamical Instability of Collapse with CDTT Model, Astropart. Phys., 56, 2014 26- Prof.Dr. Muhammad Sharif
Muhammad Zeem Ul Haq Bhatti,; On the Stability of a Class of Radiating Viscous Self-Gravitating Stars with Axial Symmetry, Astropart. Phys., 56, 2014 27- Prof.Dr. Muhammad Sharif
Shamaila Rani,; Dynamical Instability of Spherical Collapse in f(T) Gravity, Mon. Notices Roy. Astron. Soc., 440, 2014 28- Prof.Dr. Muhammad Sharif
Abdul Jawad,; Non-flat FRW Universe with Generalized Holographic Dark Energy, Ind. J. Phys., 88, 2014 29- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Stability Analysis of Cylindrically Symmetric Self-gravitating Systems in R+e R2 Gravity, Mon. Notices Roy. Astron. Soc., 440, 2014 30- Prof. Dr. Muhammad Sharif
M. E. Rodrigues, M.H. Dauoda, M.J. S. Houndjo and R. Myrzakulov,; Inhomogeneous Universe in f(T) Theory, Gravitation and Cosmology, 20, 2014 31- Prof.Dr. Muhammad Sharif
Iqra Nawazish,; Dynamics of Tilted and Non-tilted Lemaitre-Tolman-Bondi Spacetime in f(R) Gravity, Astrophys. Space Sci., 351, 2014 32- Prof. Dr. Muhammad Sharif
Abdul Jawad,; Analysis of Generalized Ghost Version of Pilgrim Dark Energy, Astrophys. Space Sci., 351, 2014 33- Prof. Dr. Muhammad Sharif
Saira Waheed,; Magnetized Chameleonic Brans-Dicke Cosmology and Phase Space Analysis, Astrophys. Space Sci., 351, 2014 34- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Cylindrical Thin-shell Wormholes in f(R) Gravity, Astrophys. Space Sci., 351, 2014 35- Prof. Dr. Muhammad Sharif
Hira Tahir,; Dynamics of Tilted Spherical Star and Stability of Non-Tilted Congruence, Astrophys. Space Sci., 351, 2014 36- Prof. Dr. Muhammad Sharif
Ayesha Ikram,; Dissipative Planar Gravitational Collapse in f(G) Gravity, Mod. Phys. Lett. A, 29, 2014 37- Prof.Dr. Muhammad Sharif
Rabia Saleem,; Cardy-Verlinde Formula and its Self-gravitational Corrections for Regular Black Holes, Advances High Energy Phys., 2014, 2014 38- Prof.Dr. Muhammad Sharif
Muhammad Zubair,; Cosmological Reconstruction and Stability in f(R,T) Gravity, Gen. Relativ. Gravit., 46, 2014 39- Prof.Dr. Muhammad Sharif
Nida Haider,; Center of Mass Energy for Charged Particles in Regular Black Hole, Can. J. Phys., 92, 2014 40- Prof. Dr. Muhamamd Sharif
Muhammad Zubair,; Cosmological Evolution of Pilgrim Dark Energy, Astrophys. Space Sci., 352, 2014 41- Prof. Dr. Muhammad Sharif
Zeeshan Yousaf,; Energy Density Inhomogeneities with Polynomial f(R) Cosmology, Astrophys. Space Sci., 352, 2014 42- Prof.Dr. Muhammad Sharif
Muhammad Zeem Ul Haq Bhatti,; Effects of Some Physical Factors on the Inhomogeneity in Planar Symmetry, Mod. Phys. Lett. A, 29, 2014 43- Prof.Dr. Muhamamd Sharif
Zeeshan Yusaf,; Instability of a Dissipative Restricted Non-static Axial Collapse with Shear Viscosity in f(R) Gravit, J. Cosm. Astropart. Phys., 6, 2014 44- Prof. Dr. Muhammad Sharif
Rabia Saleem,; Study of Inflationary Generalized Cosmic Chaplygin Gas for Standard and Tachyon Scalar Fields, Eur. Phys. J. C, 74, 2014 45- Prof. Dr. Muhammad Sharif
Muhammad Zeem ul Haq Bhatti,; Radiating Collapsing Relativistic Models, Physica Scripta, 89, 2014 46- Prof. Dr. Muhammad Sharif
Saadia Mumtaz,; Effects of Charge on the Stability of Thin-Shell Wormholes, Astrophys. Space Sci., 352, 2014 47- Prof Dr. Muhammad Sharif
Muhamamd Zeem ul Haq Bhatti,; Shear-Free and Cavity Models with Plane Symmetry, Astrophys. Space Sci., 352, 2014 48- Prof. Dr. Muhammad Sharif
Saira Waheed,; Bianchi Type Universe and Superpotential Reconstruction in Scalar-Tensor Cosmology, Astrophys. Space Sci., 352, 2014 49- Prof.Dr. Muhammad Sharif
Zeeshan Yousaf,; Stability of a Class of Non-Static Axial Self-Gravitating Systems in f(R) Gravity, Astrophys. Space Sci., 352, 2014 50- Prof. Dr. Muhammad Sharif
Hafiza Ismat Fatima,; Energy Conditions for Bianchi Type I Universe in f(G) Gravity, Astrophys. Space Sci., 353, 2014 51- Prof. Dr. Muhammad Sharif
Hira Tahir,; Tilted and Non-Tilted Godel-type Universe, Astrophys. Space Sci., 353, 2014 52- Prof.Dr. Muhammad Sharif
Shamaila Rani,; Pilgrim Dark Energy in f(T) Gravity, J. Exp. Theor., 119, 2014 53- Prof.Dr. Muhamamd Sharif
Muhammad Azam
,; Thin-Shell Wormholes in Born-Infeld Electrodynamics with Modified Chaplygin Gas, Phys. Lett. A, 378, 2014 54- Prof. Dr. Muhammad Sharif
Muhammad Zeem ul Haq Bhatti,; Electromagnetic Effects on the Inhomogeneity of Planar Symmetry, Mod. Phys. Lett. A, 29, 2014 55- Prof.Dr. Muhamamd Sharif
Shamaila Rani,; f(T) Gravity and Static Wormhole Solutions, Mod. Phys. Lett. A, 29, 2014 56- Prof.Dr. Muhamamd Sharif
Saima Jabbar,; Laws of Thermodynamics and Stability for \LambdaCDM f(T) Model, Eur. Phys. J. Plus, 129, 2014 57- Prof.Dr. Muhammad Sharif
Saadia Mumtaz,; Schwarzschild-de Sitter and anti de Sitter Thin-Shell Wormholes and their Stability, Advances High Energy Phys., 2014, 2014 58- Prof.Dr. Muhammad Sharif
Muhammad Zubair,; Reconstructing f(R) Theory from Pilgrim Dark Energy, Astrophys. Space Sci., 353, 2014 59- Prof.Dr. Muhammad Sharif
Muhamamd Zeem ul Haq Bhatti,; Effects of Some Physical Factors on the Stability of Collapsing Stars, J. Mod. Phys. D, 23, 2014 60- Prof.Dr. Muhammad Sharif
Muhammad Zeem ul Haq Buatt,; Dynamics and Stability of Charged Spherical Star with Tilted and Non-Tilted Congruences, Mod. Phys. Lett. A, 29, 2014 61- Prof.Dr. Muhammad Sharif
Rabia Saleem,; Thermodynamics of New Modified Chaplygin Gas in Magnetic FRW Universe, Int. J. Theor. Phys., 53, 2014 62- Prof.Dr. Muhammad Sharif
Shamaila Rani,; Charged Noncommutative Wormhole Solutions in f(T) Gravity, Eur. Phys. J. Plus, 129, 2014 63- Prof. Dr. Muhammad Sharif
Imrana Shafique,; Noether Symmetries in a Modified Scalar-Tensor Gravity, Phys. Rev. D, 90, 2014 64- Prof.Dr. Malik Zawwar Hussain
Maria Hussain & Maryam Buttar,; Positive Bernstein-Bezier rational quartic interpolation, International Journal of Mathematical Models and Methods in Applied, 8, 2014 65- Prof.Dr. Malik Zawwar Hussain
Maria Hussain & Amna Waseem,; Shape-preserving trigonometric functions, Computational and Applied Mathematics, 33, 2014 66- Prof.r. Malik Zawwar Hussain
Farheen Butt, Maria Hussain & Hussain, M.Z.,; Monotone data visualization using rational trigonometric spline interpolation, The Scientific World Journal, 2014, 2014 67- Prof.Dr. Malik Zawwar Hussain
Maria Hussain and Ahmad Abdul Majid,; Convexity-preserving Bernstein–Be´zier quartic scheme, Egyptian Informatics Journal, 15, 2014 68- Prof.Dr. Malik Zawwar Hussain
Maria Hussain & Beenish Aqeel,; Shape-preserving surfaces with constraints on tension parameters, Applied Mathematics and Computation,, 247, 2014 69- Dr. Muhammad Aslam Malik
Muhammad Asim Zafar,; On Subsets of Q (√m) \ Q under the Action of Hecke Groups H ( λq), Applied Mathematics, 5, 2014 70- Dr. Ghazala Akram
Hamood ur Rehman,; Homotopy Perturbation Method with Reproducing Kernel Method for Third Order Nonlinear Boundary Value Problems, Journal of Basic and Applied Scientific Research, 4 (1), 2014 71- Dr. Ghazala Akram
Hamood ur Rehman,; Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space, Research Journal of Applied Sciences, Engineering and Technology, 7(4), 2014 72- Dr. Ghazala Akram
Shahid S. Siddiqi,; Solution of the System of Fifth Order Boundary Value Problem using Quartic Spline, Research Journal of Applied Sciences, Engineering and Technology, 7, 2014 73- Dr. Ghazala Akram
ImranTalib,; Quartic Non-Polynomial Spline Solution of a Third Order Singularly Perturbed Boundary Value Problem, Research Journal of Applied Sciences Engineering and Technology, 7(23), 2014 74- Dr. Muhamamd Akram
Chen, W.J.and Davvaz, B,; On N-hypergraphs, Jounal of Intelligent and Fuzzy System, 26, 2014 75- Dr. Muhammad Akram
Murtaza Yusaf, M. and Dudek, W.A,; Regularity in vague intersection graphs and vague line graphs, Abstract and Applied Analysis, 2014, 2014 76- Dr. Muhammad Akram
Ashraf, A and Sarwar, S.M,; Type-II fuzzy decision support system for fertilizer, The Scientific World Journal,, 2014, 2014 77- Dr. Muhammad Akram
Al-shehire N.O,; Intuitionistic fuzzy cycles and Intuitionistic fuzzy trees, The Scientific World Journal, 2014, 2014 78- Dr. Muhamamd Akram
Feng, F., Sarwar, S. and Jun, Y.B,; Certain types of vague graphs, U.P.B Sci. Bull., Series A, 76, 2014 79- Dr. Muhammad Akram
Gani, N. and Saeid, A.B.,; Vague hypergraphs, Jounal of Intelligent and Fuzzy System, 26, 2014 80- Dr. Muhammad Akram
Al-shehire N.O,; Intuitionistic fuzzy planar graphs, Discrete Dynamics in nature & society, 2014, 2014 81- Dr. Muhamamd Akram
Zhou, M and Shenggang, L,; Categorical properties of soft sets, The Scientific World Journal, 2014, 2014 82- Dr. Muhamamd Akram
Feng, F.B. Davvaz and V.L. Fotea,; A new approach to attribute analysis of information system based on soft implications, Knowledge-Based Systems, 70, 2014 83- Dr. Muhammad Akram
Ashraf, A, and Sarwar, S.M,; Fuzzy decision support system for fertilizer, Neural Computing & Applications, 25, 2014 84- Dr. Muhammad Akram M.G. Karunambigai,
M.G. and Kalaivani, O.K. Cayley,; Intuitionistic fuzzy graphs, Journal of Applied Mathematics and Informatics, 32 (5-6), 2014 85- Dr. Muhammad Akram
Gani, N, Rajalaxmi(a) And Subahashini,D.,,; Novel properties of fuzzy labeling graphs, Journal of Mathematics, 2014, 2014 86- Dr. Muhammad Akram
M.G. Karunambigal, K. Palanivel and S. Sivasankar,; Balanced bipolar fuzzy Graphs, Advanced Research in Pure Mathematics, 6, 2014 87- Dr. Muhammad Akram
M., Al-Shehrie N.O, Shum, K.P. and Farooq,; A., Application of bipolar fuzzy soft sets in K-algebras, Italian Journal of Pure and Applied Mathematics, 32(1), 2014 88- Dr. Muhammad Akram
Shaista, H. and Javed, I,; Intuitionistic fuzzy logic control for washing machines, Indian Journal of Science and Technology, 7(5), 2014 89- Dr. Daud Ahmad
Bilal Masud,; Variational minimization on string-rearrangement surfaces, illustrated by an analysis of the bilinear interpolation, Applied Mathematics and Computation, 233, 2014 90- Dr. Muhammad Khalid Mahmood
Farooq Ahmad,; Recursive Elucidation of Polynomial Congruences Using Root-Finding Numerical Techniques, Abstract and Applied Analysis, 2014, 2014 91- Dr. Muhammad Khalid Mahmood
Yaser Daaniak Khan, Sabeel Sabir Khan, Shoaib Farooq, Adnan Abid, Sher Afzal Khan and Farooq Ahmad,; An Efficient Algorithm for Recognition of Human Actions, The Scientific World Journal, 2014, 2014 92- Dr. Nauman Raza
Sultan Sial and Asma Rashid Butt,; Numerical Approximation of time evolution related to Ginzburg-Landau Functionals Using Weighted Sobolev Gradients, Computers and Mathematics with Applicationss, 67, 2014 93- Dr. Aziz Ullah Awan
M.Athar, Coria Fetecau and Mehwish Rana,; Unsteady flow of a Maxwell Fluid with Fractional Derivatives in a Circular Cylinder Moving with a Non-Linear Velocity, Questiones Mathematicae, 37, 2014 94- Prof.Dr. Shahid S. Siddiqi
Muhammad Younis,; Construction of Ternary Approximating Subdivision Schemes,, UPB Scientific Bulletin Series A: Applied Mathematics and Physics, 74 (1), 2014 95- Prof. Dr. Shahid S. Siddiqi
Saima Siddiqui and Nadeem Ahmad,; Fractal Generation using Ternary 5-point interpoatory subdivision scheme, Applied Mathematics and Computation, 234, 2014 96- Prof.Dr. Shahid S. Siddiqi
Muhammad Younis,; A Symmetric C3 Non-stationary Subdivision scheme, LMS Journal of Computational and Mathematics, 17 (1), 2014 97- Prof.Dr. Shahid S. Siddiqi
Saima Arshed,; Quintic B-spline for the Numerical Solution of the good boussinesq equation, Journal of the Egyptian Mathematical Society, 22, 2014 98- Prof. Dr. Shahid S. Siddiqi
Kashif Rehan,; A Univariate Symmetric C5 Subdivision scheme, Research Journal of Applied Sciences Engineering and Technology, 7(9), 2014 99- Prof.Dr. Shahid S Siddiqi
Saima Arshed,; Cubic B-Spline for the Numerical Solution of Parabolic Integro-Differential Equation with a Weakly Singular Kernel, J. Appl. Sci. Eng. Technol., 7 (10), 2014 100- Prof . Dr. Shahid S Siddiqi
Usama Idrees and Kashif Rehan,; Generation of Fractal Curves and Surfaces using Ternary 4-point Interpolatory Subdivision Scheme, Applied Mathematics and Computation, 246, 2014 101- Prof.Dr. Shahid Siddiqi
Muhammad Younis,; Ternary Approximating Non-Stationary Subdivision Schemes for Curve Designing, Cent. Eur. J. Eng., 4 (4), 2014 102- Prof.Dr. Shahid S. Siddiqi
Kashif Rehan,; Ternary 2N-Point Lagrange Subdivision scheme, Applied Mathematics and Computation, 249, 2014 Year: 2013 1- 2- 3- 4- 5- 6- 7- 8- 9- 10- 11- 12- 13- 14- 15- 16- 17- 18- 19- 20- 21- 22- 23- 24- 25- 26- 27- 28- 29- 30- 31- 32- 33- 34- 35- 36- 37- 38- 39- 40- 41- 42- 43- 44- 45- 46- 47- 48- 49- 50- 51- 52- 53- 54- 55- 56- 57- 58- 59- 60- 61- 62- 63- 64- 65- 66- 67- 68- 69- 70- 71- 72- 73- 74- 75- 76- 77- 78- 79- 80- 81- Dr. Muhammad Akram ,; Bipolar-valued fuzzy ideals of BCK/BCI −algebras, Journal of Algebra and Applied Mathematics , 11(1-2) (2013)13-27, 2013 82- 83- 84- 85- 86- 87- 88- 89- 90- 91- 92- 93- 94- 95- 96- 97- 98- 99- 100- 101- 102- 103- 104- 105- 106- 107- 108- 109- 110- 111- 112- 113- Last Three Year Books Year: 2014 1- Prof. Dr. Khalid Latif Mir,; Title: An Introductory Course in Special Relativity Publisher: Ilmi Kitab Khana, Year: 2014 Seminar/ ConferencesFacilities1. Library ContactsPhone Number: 92-42-99231241 Ext 108, 116 Faculty
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