Dr. M. Shoaib Anwar

HOD (Assistant Professor)


Dr. Muhammad Shoaib Anwar is an Assistant Professor/ HOD Mathematics Department at the University of Jhang, Jhang. He did his Ph.D. from LUMS Lahore by conducting research on Mathematical modeling and numerical solutions to flow problems. He did M. Sc. and M. Phil Mathematics from Quaid-i-Azam University, Islamabad and was awarded the President Gold Medal. His academic profile consists of research publications in renowned international journals. He has served in UET Lahore as Resident Tutor hostel, Lecturer Mathematics (BPS-18) for 6 Years, and taught various courses at the undergraduate level. He has served as Lead Editor of the special issue ”Advances in Mathematical Modeling of Flow Problems with Fractional Derivatives” in the Journal ”Mathematical Problems in Engineering” https://www.hindawi.com/journals/mpe/. He is a reviewer for several journals of international repute which include, AIMS Mathematics, Mathematical Problems in Engineering, Applied Mathematics and Computation, Mathematics of Computation, Journal of Computational and Applied Mathematics, Multidiscipline Modeling in Materials and Structures, Computers & Mathematics with Applications, Journal of the Brazilian Society of Mechanical Sciences and Engineering, Communications in Nonlinear Science and Numerical Simulation, Computer Modeling in Engineering & Sciences, International Journal of Computer Mathematics, Heat Transfer, IEEE Access, International Journal of Ambient Energy, International Journal of Mechanical Sciences, Journal of the Taiwan Institute of Chemical Engineers, Journal of Taibah University for Science, Applied Nanoscience, Engineering Applications of Computational Fluid Mechanics, Physics and Chemistry of Solids, Physica A, Results in Physics.
He has participated in various international academic conferences namely, the International conference on recent developments in fluid mechanics Quaid-i-Azam University, CASM international conference on differential equations and applications LUMS, CASM international conference on applied mathematics LUMS, European Conference on Renewable Energy Systems (ECRES), Advances in Pure and Applied Mathematics Conference (ICAPAM), International Conference on Colloid and Interface Chemistry, WaterEnergyNEXUS Conference. Apart from academics, he has various professional certificates namely, Proficiency in Personal Safety and Social Responsibilities, Swimming Certificate, Elementary First Aid, Basic Fire Fighting, and Proficiency in Personal Survival Techniques during his training as a Nautical Cadet in the Pakistan Marine Academy (PMA). He has been awarded a Certificate of Merit and First Prize in Navigation after the completion of his training at PMA.

Degree Title Specialization Institute Name Year/Session
Ph.D Mathematical modeling and numerical solutions of flow problems LUMS, Lahore 2015-2019
M.Phil Heat and mass transfer in flow configurations QAU, Islamabad 2012-2014
M.Sc Applied Mathematics QAU, Islamabad 2010-2012

Research and Publications

  • M.S. Anwar, V. Puneeth, M. Hussain, Z. Hussain, M. Irfan, Heat convection in a viscoelastic nanofluid flow: A memory descriptive model, Journal of Applied Nonlinear Dynamics (2022) in Press.
  • U. Raza, M.S. Anwar, H. Ali, V. Puneeth, M. Irfan, Z. Hussain, Fixed points in n-gonal graphical b-metric spaces under contractive conditions, International Journal of Modern Physics B (2022) in Press.
  • V Puneeth, Farhan Ali, M Riaz Khan, M Shoaib Anwar, N A. Ahammad, Theoretical analysis of the thermal characteristics of Ree–Eyring nanofluid flowing past a stretching sheet due to bioconvection, Biomass Conversion and Biorefinery (2022) https://doi.org/10.1007/s13399-022-02985-1.
  • Muhammad Irfan, Pongsakorn Sunthrayuth, Amjad Ali Pasha, Muhammad Shoaib Anwar, Waqar Azeem Khan, Phenomena of thermo-sloutal time’s relaxation in mixed convection Carreau fluid with heat sink/source, Waves Random Complex Media (2022) DOI: 10.1080/17455030.2022.2056658.
  • Muhammad Irfan, Muhammad Shoaib Anwar, Humara Sardar, Masood Khan, Waqar Azeem Khan, Energy transport and effectiveness of thermo-sloutal time’s relaxation theory in Carreau fluid with variable mass diffusivity, Mathematical Problems in Engineering 2022 (2022) Article ID 8208342 https://doi.org/10.1155/2022/8208342.
  • Z. Hussain, A. Hussain, M.S. Anwar, M. Farooq, Analysis of Cattaneo–Christov heat flux in Jeffery fluid flow with heat source over a stretching cylinder,Journal of Thermal Analysis and Calorimetry volume 147 (2022) 3391-3402 https://doi.org/10.1007/s10973-021-10573-0.
  • Zakir Hussain, Ali Saleh Alshomrani, Taseer Muhammad, Muhammad Shoaib Anwar, Entropy analysis in mixed convective flow of hybrid nanofluid subject to melting heat and chemical reactions, Case Studies in Thermal Engineering 34 (2022) 101972.
  • Venkatesh Puneeth, Manjunatha Sarpabhushana, Muhammad S. Anwar, Emad H. Aly, Bijjanal Jayanna Gireesha, Impact of bioconvection on the free stream flow of a pseudoplastic nanofluid past a rotating cone, Heat Transfer (2022) 1-18 doi:10.1002/htj.22512.
  • Muhammad Shoaib Anwar, Muhammad Irfan, Majid Hussain, Taseer Muhammad, Zakir Hussain, Heat Transfer in a Fractional Nanofluid Flow through a Permeable Medium, Mathematical Problems in Engineering 2022 (2022) Article ID 3390478 https://doi.org/10.1155/2022/3390478.
  • M. Irfan, K. Rafiq, M.S. Anwar, M. Khan, W.A. Khan, I. Kaleem, Evaluating the performance of new mass flux theory on Carreau nanofluid using the thermal aspects of convective heat transport, Pramana 95 (2021) 203 https://doi.org/10.1007/s12043-021-02217-7.
  • I. Ali, A. Rasheed, M.S. Anwar, M. Irfan, Z. Hussain, Fractional calculus approach for the phase dynamics of Josephson junction, Chaos, Solitons \& Fractals 143 (2021) 110572.
  • M. Khan, A. Rasheed, M.S. Anwar, Z. Hussain, T. Shahzad, Modelling charge carrier transport with anomalous diffusion and heat conduction in amorphous semiconductors using fractional calculus, Physica Scripta 96 (2021) 045204 https://doi.org/10.1088/1402-4896/abde0f.
  • K. Rafiq, M. Irfan, M. Khan, M.S. Anwar, W.A. Khan, Arrhenius activation energy theory in radiative flow of Maxwell nanofluid, Physica Scripta 96 (2021) 045002 https://doi.org/10.1088/1402-4896/abd903.
  • Z. Hussain, T. Hayat, A. Alsaedi, M.S. Anwar, Mixed convective flow of CNTs nanofluid subject to varying viscosity and reactions, Scientific Reports 11 (2021) 22838.
  • Z. Hussain, S. Muhammad, M.S. Anwar, Effects of first-order chemical reaction and melting heat on hybrid nanoliquid flow over a nonlinear stretched curved surface with shape factors, Advances in Mechanical Engineering (2021) DOI: 10.1177/1687814021999526.
  • A. Ali, M. Hussain, M.S. Anwar, M. Inc, Mathematical modeling and parametric investigation of blood flow through a stenosis artery, Applied Mathematics and Mechanics-English Edition 42 (2021) 1675-1684.
  • M. Irfan, K. Rafiq, M. Khan, M. Waqas, M.S. Anwar, Theoretical analysis of new mass flux theory and Arrhenius activation energy in Carreau nanofluid with magnetic influence, International Communications in Heat and Mass Transfer 120 (2021) 105051.
  • Bilal Jamil, Muhammad Shoaib Anwar, Amer Rasheed, Muhammad Irfan, MHD Maxwell flow modeled by fractional derivatives with chemical reaction and thermal radiation, Chinese Journal of Physics 67 (2020) 512-533.
  • M. Irfan, M.S. Anwar, M. Rashid, M. Waqas, W.A. Khan, Arrhenius activation energy aspects in mixed convection Carreau nanofluid with nonlinear thermal radiation, Applied Nanoscience 10 (2020) 4403-4413 https://doi.org/10.1007/s13204-020-01498-5.
  • Muhammad Shoaib Anwar, Numerical study of transport phenomena in a nanofluid using fractional relaxation times in Buongiorno model, Physica Scripta 95 (2020) 035211.
  • M.S. Anwar, R.T.M. Ahmad, T. Shahzad, M. Irfan, M.Z. Ashraf, Electrified fractional nanofluid flow with suspended carbon nanotubes, Computers \& Mathematics with Applications 80 (2020) 1375-1386.
  • Amer Rasheed, Muhammad Shoaib Anwar, Interplay of chemical reacting species in a fractional viscoelastic fluid flow, Journal of Molecular Liquids 273 (2019) 576-588.
  • Amer Rasheed, Muhammad Shoaib Anwar, Numerical computations of fractional nonlinear Hartmann flow with revised heat flux model, Computers \& Mathematics with Applications 76 (2018) 2421-2433.
  • Amer Rasheed, Muhammad Shoaib Anwar, Simulations of variable concentration aspects in a fractional nonlinear viscoelastic fluid flow, Communications in Nonlinear Science and Numerical Simulation 65 (2018) 216-230.
  • Muhammad Shoaib Anwar, Amer Rasheed, Joule heating in magnetic resistive flow with fractional Cattaneo–Maxwell model, Journal of the Brazilian Society of Mechanical Sciences and Engineering 44 (2018) 501.
  • Muhammad Shoaib Anwar, Amer Rasheed, Heat transfer at microscopic level in a MHD fractional inertial flow confined between non-isothermal boundaries, The European Physical Journal Plus 132 (2017) 305.
  • Muhammad Shoaib Anwar, Amer Rasheed, Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives, Computers & Mathematics with Applications 74 (2017) 2485-2502.
  • Muhammad Shoaib Anwar, Amer Rasheed, A microscopic study of MHD fractional inertial flow through Forchheimer medium, Chinese Journal of Physics 55 (2017) 1690-1703.
  • T. Hayat, M.S. Anwar, M. Farooq, A. Alsaedi, Mixed convection flow of viscoelastic fluid by a stretching cylinder with heat transfer, PLoS ONE 10(3): e0118815 (2015)\\ doi.org/10.1371/journal.pone.0118815.
  • T. Hayat, M.S. Anwar, M. Farooq, A. Alsaedi, MHD stagnation point flow of second grade fluid over a stretching cylinder with heat and mass transfer, International Journal of Nonlinear Sciences and Numerical Simulation 15 (2014) 365-376.

Field of Interest

  • Mathematical modeling of Newtonian and non-Newtonian flow problems
  • Numerical solutions of non-linear fractional partial differential equations
  • Finite element and finite difference methods
  • Boundary layer flows and structure interactions


Dr. M. Shoaib Anwar is HEC PhD approved Supervisor.