The PhD in Mathematics is recognized as the highest qualification in the field, offering students an unparalleled opportunity to explore mathematical ideas in depth, from abstract theories to practical applications. At the University of the Punjab, Lahore, the Mathematics Department plays a pivotal role in advancing the discipline, both within the institution and beyond. With a clear vision for raising academic standards, the department has developed a distinctive PhD program designed to stimulate research and drive innovation in mathematics. Over the years, this program has trained 131 doctoral scholars, a remarkable achievement that highlights the department's dedication to academic excellence. The full list is provided below.
Sr. # |
Name of Scholar |
Thesis Title |
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01 |
Zafar Ali Khan |
Finite Basis Problems for Pointed- Groups |
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02 |
Malik Zawwar Hussain |
Shape Preserving Curves and Surfaces for Computer Graphics |
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03 |
Muhammad Aslam Malik |
Group Actions on Fields |
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04 |
Ghazala Akram |
Use of Spline Functions in Solving Boundary-Value Problems |
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05 |
Sehar Aziz |
Kinematic Self-Similar Solutions and their Applications |
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06 |
Nadeem Ahmad |
Geometric Modelling Using Subdivision Techniques |
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07 |
Khalil Ahmad |
Decoding of Combined Codes and G-Values |
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08 |
Umber Sheikh |
Wave Properties in Black Hole Magnetospheres |
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09 |
Muhammad Jamil Amir |
Some Important Issues of General Relativity in Teleparallel Theory of Gravity |
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10 |
Zahid Ahmad |
Gravitational Collapse: A Key Issue in General Relativity |
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11 |
Nauman Raza |
Numerical Methods for Simulation of Propagation of Electromagnetic Fields in Fiber Optics |
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12 |
Maria Hussain |
Data Visualization Using Spline Functions |
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13 |
Kashif Rehan |
Subdivision Schemes: The New Paradigum in Computer Aided Geometric Design |
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14 |
Bushra |
Configurational Structure and Ideals of BCC/Weak BCC-Algebras |
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15 |
Hafiza Rizwana Kausar |
Some Aspects of Dark Energy and Gravitational Collapse in f (R) Theory |
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16 |
Ghulam Abbas |
Fate of Gravitational Collapse in Electromagnetic Theory |
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17 |
Tahira Sumbal Shaikh |
Curves and Surfaces for Data Visualization Using Splines |
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18 |
Misbah Irshad |
Reverse Engineering Using Splines and Soft Computing Techniques |
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19 |
Saira Waheed |
Some Cosmological Issues in Scalar-Tensor Theories |
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20 |
Muzammal Iftkhar |
Series Solutions of Seventh Order Boundary Value Problems” |
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21 |
Abdul Jawad |
Evolution of the Universe and Dark Energy Mystery |
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22 |
Wajiha Javed |
Hawking Radiation from some Particular Black Holes |
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23 |
Muhammad Azam |
Stability Analysis: A Crucial Study in General Relativity |
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24 |
Hamood ur Rehman |
Use of Reproducing Kernel Hilbert Space Functions to Solve Boundary Value Problems |
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25 |
Muhammad Zubair |
Curvature Matter Coupling: Some Cosmic Aspects |
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26 |
Daud Ahmad |
Variational Improvement to Near-Minimal Surfaces and Comparison with Numerical outputs of Exact Expressions |
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27 |
Muhammad Riaz |
Certain Quadratic Fields under the Action of two Generator Groups |
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28 |
Hafiz Muhammad Asim Zafar |
The Action of Hecke Groups on Real and Imaginary Quadratic Fields |
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29 |
Muhammad Khalid Mahmood |
Structures of Discrete Graphs and Modular Arithmetic |
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30 |
Shamaila Rani |
Study of Some Interesting Issues in f(T) Gravity |
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31 |
Muhammad Younas |
Subdivision Schemes for Curve Designing |
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32 |
Rahat Saeed Tariq |
Categorical Aspects of Hyper BCI- Algebras and Fuzzification of Ideals in Hyper BCK/BCI Algebras |
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33 |
Saima Arshed |
Numerical Solutions of Partial Differential Equations Using B Spline |
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34 |
Rabia Saleem |
Some Inflationary and Cosmic Issues in General Relativity |
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35 |
Muhammad Zaeem ul Haq Bhatti |
Stability Analysis of Self-Gravitating Collapsing Systems |
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36 |
Zeeshan Yousaf |
Dynamical Evolution of Collapsing Stellar Systems in f(R) Gravity |
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37 |
Muhammad Touqeer |
Applications of Hyperstructures and Soft sets in Ideal Theory of BCK/BCI-Algebras |
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38 |
Farsia Hussain |
Shape Preserving Trigonometric Spline Curves and Surfaces for Computer Graphics |
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39 |
Munaza Ishaq |
Interactive Shape Designing using Spline Interpolation |
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40 |
Sehrish Iftikhar |
Gravitational Lensing and Dynamics of Black Holes |
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41 |
Wardat us Salam |
Non-Stationary Subdivision Algorithms for Geometric Modeling |
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42 |
Hira Tariq |
Efficacious Algorithms for the Solutions of Fractional Differential Equations |
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43 |
Rubab Manzoor |
Dynamics of Self-Gravitating Systems in Scalar-Tensor Gravity |
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44 |
Hafiza Ismat Fatima |
Some Aspects of Modified Gauss-Bonnet Gravity |
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45 |
Saadia Mumtaz |
Stability Analysis of Celestial Objects and Cosmos |
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46 |
Iqra Nawazish |
Cosmic Inflation and Evolution in f(R) and f(R,T) Theories |
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47 |
Ayesha Ikram |
Study of Cosmic Issues in Modified Gauss-Bonnet Theories |
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48 |
Sundas Shahzadi |
Certain Intuitionistic Fuzzy Soft Graphs with Applications |
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49 |
Musavarah Sarwar |
Novel Decision-Making Methods Based on m-Polar Fuzzy Graphs |
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50 |
Kanwal Nazir |
Evolution of the Universe in F(T,TG) Gravity |
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51 |
Samreen Abbas |
Digital Image Processing using Soft Computing Techniques and Spline Representations |
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52 |
Fiza Batool |
A Study of Nonlinear Partial Differential Equations for Exact Solutions |
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53 |
Sumera Naz |
Extensions of Fuzzy Graphs and their Applications |
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54 |
Zaffer Elahi |
Applications of Orthogonal Polynomials for the Numerical Solutions of Higher Order Boundary Value Problems |
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55 |
Shamaila Samreen |
Modeling of Curves and Surfaces for CAD/CAM |
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56 |
Maasoomah Sadaf |
Analytical Approximate Solutions of Differential Equations Using Some Effective Techniques |
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57 |
Fariha Zafar |
Soft Rough Fuzzy Graphs with Applications |
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58 |
Hafsa Masood Malik |
Intuitionistic Fuzzy Rough Graph with Applications |
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59 |
Ayesha Shakeel |
Approximation of Planar Curves for Computer Aided Design |
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60 |
Saira Hameed |
Spectral and Topological Properties of Graphs |
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61 |
Arfa Waseem |
Study of Stellar Structures and Stability Analysis in Modified Gravity |
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62 |
Ghous Ali |
Decision-Making Based on m-Polar Fuzzy N-Soft Rough Sets |
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63 |
Arooj Adeel |
Novel Hybrid Models Based on Hesitant Fuzzy Sets |
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64 |
Sobia Sadiq |
Study of Physical Characteristics of Stellar Configurations |
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65 |
Aisha Siddiqa |
Effects of Modified Theories on Stellar Structures and Cosmic Evolutions |
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66 |
Saadia Saba |
Cosmic Evolution and Gravitational Decoupled Solutions in Modified Gauss-Bonnet Gravity |
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67 |
Sajjad Ali |
Reduced Quadratic Irrational Numbers and G Circuits of Modular Group |
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68 |
Aneela Razzaq |
Magnetohydrodynamic Flows of Fractional Non-Newtonian Fluids Through Porous Media |
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69 |
Neha Waseem |
m-Polar Fuzzy Elimination and Choice Translating Reality Methods |
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70 |
Ahmad Javid |
Exact Solitary Wave Solutions of Nonlinear Evolution Equations by Traveling Wave Hypothesis |
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71 |
Tayba Arooj |
Data Visualization using Fractal Spline Functions |
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72 |
Muhammad Danial Hisham |
Unsteady Flows of Newtonian and non-Newtonian Fluids Through Rectangular Channels |
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73 |
Syeda Tayyba Tehrim |
Bipolar Fuzzy Soft Topology with Applications in Decision Making |
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74 |
Khalida Bibi |
Construction and Analysis of Subdivision Algorithms for Shape Modeling |
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75 |
Qanitah Ama Tul Mughani |
Physical Viability and Stability of Self Gravitating Systems |
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76 |
Anam Luqman |
Granulation of Network Models under Fuzzy Hybrid Information |
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77 |
Muhammad Aamir Javed |
Properties of Circuits in Coset Diagrams by Modular Group |
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78 |
Muhammad Nadeem Bari |
Binary Quadratic Forms and group Actions on Fields |
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79 |
Masooma Raza Hashmi |
Some Hybrid Structures of m-Polar Neutrosophic Set with Applications |
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80 |
Muhammad Tahir |
Analytical Study on Optical Solitons and Exact Traveling Wave Solutions of Nonlinear Partial Differential Equations |
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81 |
Asad Zubair |
Exact Soliton Solutions of Nonlinear Schrӧdinger Equations in Fiber Optics |
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82 |
Gulfam Shahzadi |
Hybrid Decision Making Models Based on q-Rung Orthopair Fuzzy Information |
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83 |
Sidra Saleem |
Numerical Solution of Time-Dependent Partial Differential Equations Via Haar Wavelet |
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84 |
Nausheen Ayub |
Decision Making Methods on Dual Hesitant Fuzzy Sets and its Applications |
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85 |
Muzzamal Sitara |
Extensions of Graph Structures Under q-Rung Picture Fuzzy Environment |
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86 |
Faisal Javed |
Mechanical Stability and Dynamical Evolution of Thin-Shell |
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87 |
Shahbaz Ali |
New Classes of Integers and Their Applications in Graphs |
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88 |
Muhammad Haris Mateen |
A Structural Study of Digraphs Over Finite Rings Using Modular Exponentiation |
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89 |
Naila Sajid |
Innovative Techniques for Constructing Exact Solutions of Nonlinear Evolution Equations |
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90 |
Nadia Mahak |
Exact Solutions of Nonlinear Partial Differential Equations via Efficacious Techniques |
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91 |
Saba Siddique |
Connectivity of Specific Fuzzy Graphs |
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92 |
Shumaiza |
Extension of Multi-Criteria Decision Making Methods using q-Rung Orthopair Fuzzy Information |
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93 |
Amal Majid |
Some Aspects of Self-interacting Brans-Dicke Theory |
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94 |
Zoha Tariq |
Evolution of Self-Gravitating Objects in Modified Gravity |
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95 |
Asma Ehsan |
A Computationally Efficient Mathematical Model for Pattern Analysis in Proteomics |
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96 |
Muhammad Zeeshan Gul |
Evolution of Stellar Structures in Energy Momentum Squared Gravity |
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97 |
Hafiza Saba Nawaz |
Granular Computing with Pythagorean Fuzzy Information |
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98 |
Hamna Asad |
Gravastars and Spatially Hyperbolic and NonHyperbolic Fluids in Modified Gravity |
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99 |
Muhammad Yousaf |
Investigation on Celestial Objects using Some Mathematical Methods |
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100 |
Muhammad Ajmal |
Mathematical Analysis for the Stable Compact Structures |
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101 |
Muhammad Hasnain Shahzad |
Mathematical Analysis of Blood Flow through Diseased Vessels |
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102 |
Syed Asif Ali Shah |
Numerical Computations of Hybrid Nanofluids Flow across Macro Geometries |
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103 |
Ume Farwa |
Stability of Self-gravitating Structures at Large Scales |
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104 |
Mian Muhammad Muddassar Nasir |
Study of Complex Systems in Modified Gauss Bonnet Gravity |
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105 |
Tayyab Naseer |
Structural Evolution of Self-gravitating Celestial Objects in Non-minimally Coupled Gravity |
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106 |
Sonia Hanif |
Orthogonal Splitting of the Riemann Tensor and its Applications |
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107 |
Ayesha Khan |
Decision-Making Methods Based on 2-Tuple Linguistic q-Rung Picture Fuzzy Sets |
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108 |
Amna Habib |
Algorithms for Network-Based Models with Pythagorean Fuzzy Information |
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109 |
Kiran Zahid |
Outranking Methods for Multi-Criteria Decision Making with Spherical Fuzzy Sets |
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110 |
Ghulam Muhammad |
Analytical Solutions of Fuzzy Linear Fractional Ordinary Differential Equations |
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111 |
Komal Hassan |
Evolution of Stellar Structures in f (G,T) Gravity |
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112 |
Muhammad Hamza Rafiq |
Dynamical Observations and a Variety of New Structures in Some Nonlinear Evolution Equations Using Lie Symmetry Analysis |
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113 |
Ayesha Razzaq |
m-Polar Picture Fuzzy Topology with Applications in Multi Criteria Decision Making |
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114 |
Hafiz Muhammad Athar Farid |
Some Hybrid Structures of q-Rung Orthopair Fuzzy Sets and their Aggregation Operators with Applications |
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115 |
Nimra Jamil |
Cubic Bipolar Fuzzy Set Topology with Applications in Multi Criteria Decision Making |
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116 |
Ahmad Bilal |
Bounds for the Spectral Radii and Energies of Graph Operations |
|
117 |
Saba Naz |
Study of Compact Objects and Complexity in Energy-momentum Squared Gravity |
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118 |
Iqra Nawaz |
Connectivity of Directed Rough Fuzzy Graphs |
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119 |
Muhammad Sufyan |
Extension of Gravitational Anisotropic Stellar Models |
|
120 |
Muhammad Atta Ullah Khan |
Extraction of Traveling Wave Solutions of Nonlinear Partial Differential Equations Using Effective Techniques |
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121 |
Sadia Akhter |
Spectral Characteristics of Simple Graphs |
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122 |
Sadia Bashir |
Minimal and Harmonic Bezier Structures |
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123 |
Tahira Jamal |
A Study on Different Patterns of Some Physical Models Using Lie Theory and Bifurcation Analysis |
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124 |
Iqra Zaneb |
A Variety of Structures of Travelling Wave Solutions for Nonlinear Evolution Equations |
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125 |
Atteeq Ur Rehman |
Study of Compact Objects under Various Background |
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126 |
Isma Ghulam Murtaza |
Investigation of New Solitary Wave Solutions using Analytical Techniques |
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127 |
Mariyam Ehsan Buttar |
Quasi Minimal Generalized Bezier Surfaces |
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128 |
Minahal Arshad |
Further Results Matrix form of Algebras of Lie Triple and Generalized Lie Triple Derivations |
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129 |
Ali Raza |
Spectral Radii of Graph Families and Graph Operations |
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130 |
Inayat Ullah |
Multi-Criteria Decision Making Methods Using Z-Number |
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131 |
Suraj Khan |
A Study on Diffused Self-gravitational Droplet Structure |
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