UAN:111-000-010
GC University, Lahore
info@gcu.edu.pk

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Azhar Ali Zafar

Dr. Azhar Ali Zafar

Associate Professor
Department: Mathematics
Email: azharalizafar@gcu.edu.pk
Research Interests: Dynamical systems, Fractional Partial Differential Equations.
Office Location: Department of Mathematics, GC University, KSK Campus
Contact Number: +923004504737
Biography

Azhar Ali ZAFAR completed his doctoral degree in the field of Mechanics from the Abdus Salam School of Mathematical Sciences, GC University Lahore in 2014 and completed his postdoctoral fellowship at Lodz University of Technology, Poland. Moreover, received Diploma for Academic Excellence in Mathematics from the Abdus Salam School of Mathematical Sciences in 2007-2008. He is an author or co-author of more than 50 research articles in scientific journals. Currently, he is working as Associate Professor at Department of Mathematics, GC University Lahore. During his scientific travel he visited Germany, Poland and Czechia. His papers and research cover various disciplines of mathematics, mechanics, biomechanics, automatics and physics oriented sciences.

Education
2020  Post Doc in Mathematics, Lodz University Of Technology, Poland Lodz, Poland
2014  PhD in Dynamical Systems/ Mathematics, Abdus Salam School Of Mathematical Sciences, GC University Lahore Lahore, Pakistan
2000  MS/MPhil in Mathematics, GC University Lahore Lahore, Pakistan
1996  Masters in Mathematics, University Of The Punjab Lahore, Pakistan
Diploma for Academic Excellence in Mathematics, Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan

Teaching Areas

 Fractional Calculus, MS course
 Non-Newtonian Fluid Dynamics, MS course
 Non-Linear systems, MS course
 Real Analysis, Master course
 Measure Theory, Master course
 Chaos Theory MS course
 Computing Tools for Mathematicians, BS(Hons.) course
 Classical Mechanics, BS(Hons.) course
 Fluid Dynamics, BS(Hons.) course
 Functional Analysis, BS(Hons.) course
 Calculus, BS(Hons.) course
 Linear Algebra, BS(Hons.) course
Experience
From To Designation Firm/Institution
Oct 2023 Continue Associate Professor Department Of Mathematics/ GC University Lahore
Mar 2015 Oct 2023 Assistant Professor Department Of Mathematics/ GC University Lahore
Jul 2007 Mar 2015 Lecturer Department Of Mathematics/ GC University Lahore

Journal Papers

A. A. Zafar Zafar, Maria Batool, M. Shahzaib (2025). "A Non-Integer Order Blood Rheological Model in a Magneto-thermal Environment." Journal of Prime Research in Mathematics,, 21 (1), 55-70.
A. A. Zafar Zafar, Muhammad Shahzaib, Khurram Shabbir (2025). "Advanced Hemodynamic Modeling of Pulsatile Blood Flow with Magnetic Nano-particles: Fractional Analysis for Optimizing Biomedical Applications." Punjab University Journal of Mathematics, 57 (01), 1-28. DOI: https://doi.org/10.52280/pujm.2025.57(01)01
Muhammad Shahzaib, Azhar Ali Zafar, Saif Ullah (2025). "Fractional Order Analysis of Pulsatile Blood-Nanoparticle Flow in Femoral and Coronary Arteries Under Magnetic and Thermal Influences." Journal of Nanofluids, 14 (6), 820-827. DOI: doi:10.1166/jon.2025.2279 | Impact Factor: 2.2
Muhammad Shahzaib and Azhar Ali Zafar (2025). "Theoratical Analysis of Blood Rheology as a Non-Integer Order Nanofluid Flow with Shape-Dependent Nanoparticles and Thermal Effects." Symmetry, 17 (11), 1854. DOI: https://doi.org/10.3390/ sym17111854 | Impact Factor: 2.2
A. A. Zafar, M. A. Sadiq, K, Shabbir, L. Guran (2024). "A computational study of vibrating system using the constant proportional Caputo derivative operator approach,." International Journal of Modern Physics C, , . DOI: https://doi.org/10.1142/S0129183124502310 | Impact Factor: 1.6
A. A. Zafar , S. Hussain, K. Shabbir (2024). "Analysing MHD Heat Mass Transfer model for Oldroyd-B Fluid Using Fractional Order Prabhakar Derivative." Journal of Prime Research in Mathematics,, 20 (2), 10-29.
A.A. Zafar, S. Hussain. (2024). "Dynamic Interactions: Non-Integer-Order Heat-Mass Transfer in Magnetohydrodynamic Flow of Non-Newtonian Fluid over Inclined Plates. Symmetry." Symmetry, 16 , . DOI: https://doi.org/10.3390/ sym16070826 | Impact Factor: 2.9
M. B. Riaz, A. U. Rehman, C. K. Chan, A. A. Z afar , O. Tunç (2024). "Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions." Int. J. Appl. Comput. Math, 10 (111), . DOI: https://doi.org/10.1007/s40819 024 01747 z
J. Iqbal, K. Shabbir, A. Bucur, A. A. Zafar (2023). "Analyzing the convergence of a semi-numerical-analytical scheme for non-linear fractional PDEs, 2023,78; 26-34.." Alexandria Engineering Journal, 78 , 26-34. DOI: https://doi.org/10.1016/j.aej.2023.06.095 | Impact Factor: 6.62
K. Aslam, A. A. Zafar, N. A. Shah, B. Almutairi (2023). "MHD free convection flows for Maxwell fluids over a porous plate via novel approach of Caputo Fractional Model, Symmetry 2023, 15,1731.." Symmetry, , . DOI: https://doi.org/10.3390/sym15091731 | Impact Factor: 2.94
N. A. Shah, I. Ahmad, K. K. Asogwa, A. A. Zafar, W. Weera, A. Akgul (2023). "Numerical study of a nonlinear fractional chaotic Chua’s circuit." AIMS Mathematics, 8 (1), 1636-1655. DOI: https://doi: 10.3934/math.2023083 | Impact Factor: 2.65
N. A. Shah, A. A. Zafar, C. Fetecau, A. Naseem (2022). "Effects of exponential heating on double-diffuse free convection flows on a moving vertical plate." Mathematical Reports, 3 , 481-503. | Impact Factor: 0.972
M. Asgir, M. B. Riaz, F. Jarad, A. A. Zafar (2022). "Heat transfer of MHD Oldroyd-B fluid with ramped wall velocity and temperature in view of local and nonlocal differential operators." Fractals, 30 (5), . | Impact Factor: 3.154
M. B. Riaz, M. Asgir, A. A. Zafar, S. Yao (2021). "Combined Effects of Heat and Mass Transfer on MHD Free Convective Flow of Maxwell Fluid with Variable Temperature and Concentration." Mathematical Problems in Engineering, 2021 , . DOI: https://doi.org/10.1155/2021/6641835 | Impact Factor: 1.009
A. A. Zafar, J. Awrejcewicz, G. Kudra, N. A. Shah, Se-Jin Yook, (2021). "Magneto-free-convection flow of a rate type fluid over an inclined plate with heat and mass flux." Case Study in Thermal Engineering, 27 , . DOI: https://doi.org/10.1016/j.csite.2021.101249 | Impact Factor: 4.724
N. Iftikhar, M. B. Riaz, A. A. Zafar, S. M. Husnine (2021). "Nanofluid with nonlinear Rosseland thermal radiation and mixed convection." Advances in the Theory of Nonlinear Analysis and its Applications, 5 (3), 412-420. DOI: https://doi.org/10.31197/atnaa. 752667
M. Asgir, A. A. Zafar, A. M. Alsharif, M. B. Riaz, M. Abbas (2021). "Special function form exact solutions for Jeffery fluid: An application of power law kernel." Advances in Difference Equations, 384 , . DOI: https://doi.org/10.1186/s13662-021-03539-x | Impact Factor: 0.336
A. A. Zafar, J. Awrejcewicz, O. Mazur, M. B. Riaz (2021). "Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions." Advances in Difference Equations, 87 , . DOI: https://doi.org/10.1186/s13662-021-03227-w | Impact Factor: 0.336
A. A. Zafar, G.Kudra, J. Awrejcewicz, M. B. Riaz and Thabet Abdeljawad (2020). "A comparative study of fractional oscillators." Alexandria Engineering Journal, , . DOI: https://doi.org/10.1016/j.aej.2020.04.029 | Impact Factor: 3.696
M. M. Ghalib, A. A. Zafar, M. B. Riaz, Z. Hammouch and K. Shabbir (2020). "Analytical approach for the steady MHD conjugate viscous fluid flow in a porous medium with non singular fractional derivative." Physica A: Statistical Mechanics and its Applications, 554 , . | Impact Factor: 2.5
M. M. Ghalib, A. A. Zafar, Z. Hammouch, M. B. Riaz and K. Shabbir (2020). "Analytical results on the unsteady rotational flow of fractional-order non-Newtonian fluids with shear stress on the boundary." Discrete and Continuous Dynamical Systems, Series S, 13 (3), 683-693. DOI: doi: 10.3934/dcdss.2020037 | Impact Factor: 0.545
C. Fetecau, A. A. Zafar, D. Vieru, J. Awrejcewicz, (2020). "Hydromagnetic flow over a moving plate of second grade fluids with time fractional derivatives having non-singular kernel." Chaos, Solitons and Fractals, Nonlinear Science , and Non equilibrium and Complex Phenomena, 130 , . DOI: doi: 10.1016/j.chaos.2019.109454 | Impact Factor: 3.064
A. A. Zafar, K. Shabbir, A. Naseem, W. Ashraf (2020). "MHD Natural Convection Boundary-layer Flow Over a Semi-Infinite Heated Plate with Arbitrary Inclination." Discrete and Continuous Dynamical Systems, Series S, 13 (3), 1007-1015. DOI: doi: 10.3934/dcdss.2020059 | Impact Factor: 0.545
J. Awrejcewicz, A. A. Zafar, G. Kudra, M. B. Riaz (2020). "Theoretical study of the blood flow in arteries in the presence of magnetic particles and under periodic body acceleration,." Chaos Solitons & Fractals, 140 (50), . DOI: DOI:10.1016/j.chaos.2020.110204 | Impact Factor: 3.064
M. Ghalib , A. A. Zafar , M. Farman , A. Akgul, M. O. Ahmad and A. Ahmad (2020). "Unsteady MHD flow of Maxwell fluid with Caputo–Fabrizio non-integer derivative model having slip/non-slip fluid flow and Newtonian heating at the boundary." Indian Journal of Physics, , . DOI: https://doi.org/10.1007/s12648-020-01937-7 | Impact Factor: 1.407
A. A. Zafar, G.Kudra, J. Awrejcewicz, (2019). "An investigation of Bagley-Torvik equation." Entropy, 22 (28), . DOI: doi: 10.3390/e22010028 | Impact Factor: 2.419

Thesis/Research Supervisions

Maryam Asghar (2024), Ph.D.. Thesis: "Study of Heat and Mass Transfer Models for non- Newtonian Fluids with Fractional Derivatives" (Completed)
Sajjad Hussain (2024), MS/MPhil. Thesis: "Investigating non-integer order models for non-Newtonian fluids with magnetic and thermal interactions" (Completed)
Sehrish James (2024), MS/MPhil. Thesis: "An investigation of nano particle enhanced magneto-hemodynamics cryosurgery using Oldroyd-B fluid model" (Completed)
Zainab Batool (2024), MS/MPhil. Thesis: "A study of basic vibration theory using distributed order derivative modeling" (Completed)
Talha Sajid (2023), MS/MPhil. Thesis: "Mathematical model of coolant flow in cylindrical tube in automobile radiators" (Completed)
Muhammad Ahsan (2023), MS/MPhil. Thesis: "Analysis of chaos in the dynamics of triple pendulum" (Completed)
Tayyba Bibi (2023), MS/MPhil. Thesis: "On some rotational flows of non-integer order rate type fluid with shear stress on the boundary using Caputo Fabrizio derivative approach" (Completed)
Beenish Shehzadi (2023), MS/MPhil. Thesis: "Theoretical study of blood flows in coronary and femoral arteries using Atangana-Baleanu fractional order derivative approach" (Completed)
Faiqa Aslam (2023), MS/MPhil. Thesis: "On the control of non-integer order derivatives on unsteady unidirectional motions of an Oldroyd-B fluid" (Completed)
Sadia Perveen (2023), MS/MPhil. Thesis: "Dynamics of fractional oscillators by using fractional order derivatives" (Completed)
Arfa Aslam (2023), MS/MPhil. Thesis: "Surface vibrations of drum in the setting of non-integer order modeling" (Completed)
Ali Akbar (2023), MS/MPhil. Thesis: "Optical control analysis to reduce spread of HIV/AIDS through changing habits" (Completed)
Khadeeja Aslam (2022), MS/MPhil. Thesis: "Exact solutions for Maxwell fluid via a novel approach of Caputo fractional model" (Completed)
Maria Batool (2022), MS/MPhil. Thesis: "Mathematical model for dynamics of blood in arteries" (Completed)
Osalusi Oluwasoji John (2019), MS/MPhil. Thesis: "MHD boundary layer flow of a rate type fluid over an oscillating inclined plate with slip and Newtonian heating at the boundary" (Completed)
Warda Shaukat (2019), MS/MPhil. Thesis: "Comparison of Analytical solution of a Maxwell fluid with slip effects in view of the Caputo derivative and Atangana Baleanu derivatives" (Completed)
Sania Nasir (2019), MS/MPhil. Thesis: "Hydro magnetic free convection flow of second grade fluid over an inclined infinite plate" (Completed)
Muhammad Waqas Ashraf (2018), MS/MPhil. Thesis: "MHD Natural Convection Boundary-layer Flow Over a Semi-Infinite Heated Plate with Arbitrary Inclination." (Completed)
Mehwish Mubeen (2018), MS/MPhil. Thesis: "Theoretical study of the blood flow through a circular tube using Caputo Fabrizio derivatives" (Completed)
Muhammad Afzal (2016), MS/MPhil. Thesis: "On the flow of Maxwell fluid on an infinite plate" (Completed)
Saba Iqbal (2016), MS/MPhil. Thesis: "On the flow of some rate type fluids over an infinite plate" (Completed)
Sadia Munawar (2015), MS/MPhil. Thesis: "Study of the dynamics of some rate type fluids" (Completed)
Ayesha Abdul Khaliq (2022), BS. Thesis: "Theoretical study of Study of Nano fluids" (Completed)
Isha Zaka Ullah (2022), BS. Thesis: "On some applications of Nano fluids" (Completed)
Muhammad Awaisullah (2022), BS. Thesis: "Analysis of chaotic behavior of double pendulum" (Completed)
Hamna Rouf (2022), BS. Thesis: "A mathematical model of multi-parameter oscillator" (Completed)
Anayza Aslam (2022), BS. Thesis: "Study of some laws of magnetism and their applications" (Completed)