Mr. Ajay Kumar

Assistant Professor

Interest Area(s)

  • Fractional differential equations
  • Fluid dynamics
  • Uncertainty quantifications
  • Applied Mathematics.

Mr. Ajay Kumar completed his B.Sc. (Honours) in Mathematics from Rajdhani College, University of Delhi, and his M.Sc. in Mathematics from the Indian Institute of Technology (IIT) Madras. He has submitted his Ph.D. thesis titled “Study on Micropolar Nanofluid Flow in Porous Channels with Thermal Allowance and Uncertain Volume Fractions” in the Department of Mathematics at Sardar Vallabhbhai National Institute of Technology (SVNIT), Surat. His research interests focus on the mathematical modelling and simulation of magnetohydrodynamical systems, particularly those dealing with micropolar fluid flow in parallel channels. He has published several Web of Science-indexed research papers in reputed international journals. He has expertise in Maple, MATLAB, Mathematica, LaTeX, and MS Office. He qualified several national-level competitive examinations, including IIT-JAM (Mathematics) in 2017 with an All-India Rank of 363, Joint CSIR–UGC NET–JRF in Mathematical Sciences in 2020 with an All-India Rank of 128, and GATE (Mathematics) in 2021 with an All-India Rank of 744. He has been awarded the Junior and Senior Research Fellowships by the CSIR–HRDG and received an ANRF Travel Grant to attend an international conference in Moscow, Russia in August 2025. He joined K. R. Mangalam University as an Assistant Professor in the Department of Mathematics, School of Basic and Applied Sciences on 1st October 2025.

  • Ph.D. in Applied Mathematics (Thesis Submitted),
    Department of Mathematics, S.V.N.I.T, Surat, Gujarat, India.
  • M.Sc. Mathematics from I.I.T. Madras, Chennai, Tamilnadu, India.
  • B.Sc. (Honours) from Rajdhani College (University of Delhi), New Delhi, India
  • Junior Research Fellow at S.V.N.I.T, Surat, Gujarat, India during Oct 2020-Sept 2022.
  • Senior Research Fellow at S.V.N.I.T, Surat, Gujarat, India during Oct 2022-Sept 2025.
  • Qualified JAM 2017 in Mathematics with an All India Rank (AIR) 363.
  • Qualified JOINT CSIR NET JRF 2020 in Mathematical Sciences with an All India Rank (AIR) 128.
  • Qualified GATE 2021 in Mathematics with an All India Rank (AIR) 744.
  • Awarded Junior Research Fellowship from CSIR-HRDG during 2020-2022.
  • Awarded Senior Research Fellowship from CSIR-HRDG during 2022-2025.
  • Received ANRF Travel Grant for attending an International Conference DFDE from August 17-24, 2025 in Moscow, Russia.

List of Publications:

  1. A. Kumar; R. Meher (2026). Analysing the uncertain impact of Brownian motion and thermophoresis on micropolar hybrid nanofluid flow in porous media through parallel rotating channels. Pramana, 100(1), 14, (SCIE, Q2, I.F. 2.1).
  2. A. Kumar; R. Meher (2026). Micropolar nanofluid flow with thermal radiation allowance across a resistive porous material between the channel walls. Journal of Thermal Analysis and Calorimetry, pp. 1–22, (SCIE, Q1, I.F. 3.1).
  3. A. Kumar; R. Meher (2025). Analysing thermal radiation and resistive porous effects in micropolar nanofluid flow between rotating walls. International Journal of Ambient Energy, 46(1), 2577857, (SCOPUS, Q1).
  4. A. Kumar; R. Meher (2025). Study on micropolar nanofluid flow with thermal radiation allowance across a resistive porous material between the channel walls. Archive of Applied Mechanics, 95(3), 70, (SCIE, Q2, I.F. 2.5).
  5. A. Kumar; R. Meher (2024). Study on uncertain impact of thermal radiation on micropolar hybrid nanofluid flow between porous channel walls with distinct nanoparticles. Journal of Taibah University for Science, 18(1), 2352008, (SCIE, Q1, I.F. 4.1).
  6. A. Kumar; R. Meher (2024). Uncertain effects of thermal radiation and magnetic field in the micropolar fluid flow through porous channel walls with hybrid nanoparticles. Pramana, 98(3), 91, (SCIE, Q2, I.F. 2.1).
  7. A. Kumar; R. Meher (2024). Study on temporal-fuzzy fractional p-KdV equation with non-singular Mittag-Leffler kernel. Mathematical Modelling and Analysis, 29(1), 57–76, (SCIE, Q2, I.F. 1.4).
  1. A. Kumar; R. Meher (2023). Solving non-linear partial differential equations using Homotopy Analysis Method (HAM). Nonlinear Dynamics and Applications: Proceedings of ICNDA-2022, 955–964.
  2. A. Kumar; R. Meher (2024). Solving time fractional partial differential equations using Shehu transform with q-homotopy analysis approach. AIP Conference Proceedings, 3242(1), 020005.
  1. Kumar; R. Meher (2025). “Analyzing hepatitis B dynamics through fractional modeling and uncertainty quantification using a homotopy method” at the 10th International Conference on Differential and Functional Differential Equations (DFDE 2025), Mathematical Institute of the RUDN University, Moscow, Russia.
  2. Kumar; Parthkumar P. Sartanpara; R. Meher (2024). “Comparative analysis of two novel analytical techniques for solving fractional Navier-Stokes equations” at the International Conference on Evolution in Pure Applied Mathematics (ICEPAM-2024), Akal University, Talwandi Sabo, Bathinda, Punjab, India.
  1. Kumar; R. Meher (2023). “Micropolar nanofluid flow with thermal radiation allowance across a resistive porous material between the channel walls” at the International Conference on Recent Advances in Fluid Mechanics and Nanoelectronics (ICRAFMN-2023), Manipal Institute of Technology, Bengaluru, India.
  1. Kumar; R. Meher (2023). “Solving time fractional partial differential equations using Shehu transform with q-homotopy analysis approach” at the International Conference on Recent Trends in Mathematics, Statistics, and Engineering (ICRTMSE 2023), School of Technology Management and Engineering SVKM’s NMIMS (Deemed to-be University) Indore, Madhya Pradesh, India.
  1. Kumar; R. Meher (2022). “Analytical study for solving non-linear fractional partial differential equations by using a new robust approach q-HAShTM” at the International Conference on Dynamical Systems Control and their Applications (ICDSCA-2022), IIT Roorkee, Uttarakhand, India.
  1. Kumar; R. Meher (2022). “Solving Non-linear Partial Differential Equations using Homotopy Analysis Method (HAM)” at the International Conference on Nonlinear Dynamics and Applications (ICNDA-2022), Sikkim Manipal Institute of Technology (SMIT), Sikkim Manipal University, Majitar, East Sikkim, India.
  1. Kumar; R. Meher (2022). “Solving time-fractional differential equations using q-homotopy analysis method along with Shehu transform” at the International Conference on Nonlinear Analysis and Applications (ICNAA-2022), School of Fundamental and Applied Sciences, Assam Don Bosco University, Tapesia Garden, Sonapur, Assam, India.
  2. Kumar; R. Meher (2022). “Study of effect of heat transfer nanofluid flow over parallel plates using homotopy analysis method” at the 67th congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM) (An International Conference), Indian Institute of Technology Mandi, Himachal Pradesh, India.

MEMBER OF SCIENTIFIC SOCIETIES:

  1. Life Member, The Indian Mathematical Society (IMS).
  2. Life Member, Ramanujan Mathematical Society (RMS)