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Pranay Goswami

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Affiliation

  • Associate Professor , School of Liberal Studies

Email

    pranay@aud.ac.in

Qualification

  • Dr. Pranay Goswami obtained his Bachelors of Science and Masters of Science in Mathematics from University of Rajasthan in 2003 and 2005, respectively. He completed his Doctoral degree from University of Rajasthan in 2011. His doctoral thesis was "A Study of Certain New Aspects of Fractional Differ-Integral Equations and Geometric Function Theory". His area of interest also includes fractional differential and integral equations, univalent functions, mathematical modelling.

Past Experience

  • Before joining Ambedkar University Delhi in 2012,Dr. Pranay Goswami was a senior lecturer in AMITY University Rajasthan.

Awards

  • Outstanding Researcher Award (2025) Awarded by: Dr. B. R. Ambedkar University Delhi
  • Commendable Researcher Award (2024) Awarded by: Dr. B. R. Ambedkar University Delhi
  • Good Researcher Award (2023) Awarded by: Dr. B. R. Ambedkar University Delhi
  • Best Paper Presentation Award (2023) Awarded by: International Conference on Mathematical Analysis, Applications and Computational Simulation (ICMAACS 2023)
  • GATE (2008) All India 6th Rank with 99.73 percentile.
  • Junior Research Fellowship (2006)  Awarded by: CSIR (Council of Scientific and Industrial Research)

Publications

  • Goswami P., Pokhriyal B., Kumar K. (2026). A local fractional modified Crank–Nicolson scheme for fractal LWR model of traffic flow. International Journal of Geometric Methods in Modern Physics, 23(01), 2440039.
  • Jain U., Sharma D., Goswami P., Malik K. (2026). Exploring the Dynamics of Romantic Relationships Through the Lens of Prem Rog. Journal of Humanistic Mathematics, 16(1), 4–28.    [Scopus  |  CS: 0.4]
  • Kumar M., Goswami P. (2026). Solving Fractional Differential Equations involving YAC Operator using ANN. Computational Methods for Differential Equations.    [Scopus  |  CS: 1.6]
  • Sharma N., Joshi S., Goswami P. (2025). An enhanced artificial neural network approach for solving nonlinear fractional-order differential equations. Partial Differential Equations in Applied Mathematics, 15, 101230.    [Scopus  |  CS: 1.2]
  • Goswami P., Pokhriyal B., Kumar K. (2025). On the solution of two-dimensional local fractional LWR model of fractal vehicular traffic flow. Mathematics and Computational Sciences, 6(3), 43–63.    [Scopus]
  • Malik K., Goswami P., Yadav V. (2025). Impact of the diffusion coefficient and non-linear incidence rate on the dynamics of the SIR model. Boletim da Sociedade Paranaense de Matemática, 43(1), 1–18.    [Scopus  |  CS: 0.5]
  • Pokhriyal B., Goswami P., Kumar K., Mahmoud A.S., Abdalbagi M., Althobaiti S. (2025). A new two-dimensional macroscopic local fractional viscous diffusive model of vehicular traffic flow. AIMS Mathematics, 10(9), 20782–20804.    [SCIE (WOS) + Scopus  |  IF: 1.8  |  CS: 3.1]
  • Goswami P., Shukla S., Bansal S. (2025). On sufficient conditions for some classes of multivalent functions. Mathematical Analysis and its Contemporary Applications, 7(4), 79–88.    [Scopus  |  CS: 0.5]
  • Albalawi K.S., Alkahtani B.S.T., ur Rahman M., Goswami P. (2024). Investigation of the intricate dynamics and a variety of hybrid soliton solutions of the (3+1)-dimensional Boussinesq equation. Results in Physics, 56, 107266.    [SCIE (WOS) + Scopus  |  IF: 4.4  |  CS: 5.04]
  • Kumar A., Kumar M., Goswami P. (2024). Numerical solution of coupled system of Emden-Fowler equations using artificial neural network technique. International Journal of Optimization & Control: Theories & Applications, 14(1).    [ESCI (WOS) + Scopus  |  IF: 1.5  |  CS: 1.8]
  • Goswami P., Gour M.M., Goyal S.P., Yadav L.K. (2024). Majorization property for certain classes of analytic functions associated with general operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 73(1), 122–130.    [ESCI (WOS) + Scopus  |  IF: 0.8  |  CS: 0.9]
  • Kumar M., Kumar S., Kumar K., Goswami P. (2024). Multilayered neural network for power series-based approximation of fractional delay differential equations. Mathematical Methods in the Applied Sciences, 47(11), 8771–8785.    [SCIE (WOS) + Scopus  |  IF: 2.1  |  CS: 2.26]
  • Sharma N., Alhawael G., Goswami P., Joshi S. (2024). Variational iteration method for n-dimensional time-fractional Navier–Stokes equation. Applied Mathematics in Science and Engineering, 32(1), 2334387.    [ESCI (WOS) + Scopus  |  IF: 2.9  |  CS: 3.2]
  • Areshi M., Goswami P., Mishra M.N. (2024). Comparative study of blood sugar–insulin model using fractional derivatives. Journal of Taibah University for Science, 18(1), 2339009.    [SCIE (WOS) + Scopus  |  IF: 2.8  |  CS: 3.2]
  • Alazman I., Mishra M.N., Alkahtani B.S., Goswami P. (2024). Computational analysis of rabies and its solution by applying fractional operator. Applied Mathematics in Science and Engineering, 32(1), 2340607.    [ESCI (WOS) + Scopus  |  IF: 2.9  |  CS: 3.2]
  • Goswami P., Kumar A. (2024). Numerical solution of generalized fractional Lane–Emden-Fowler equation using Haar wavelet method. International Journal of Geometric Methods in Modern Physics, 2440024.    [SCIE (WOS) + Scopus  |  IF: 2.1  |  CS: 2.3]
  • Albalawi K.S., Kumar A., Alqahtani B.S., Goswami P. (2024). Numerical solution of general order Emden-Fowler-type Pantograph delay differential equations. Demonstratio Mathematica, 57(1), 20240023.    [ESCI (WOS) + Scopus  |  IF: 2.0  |  CS: 2.5]
  • Alshehri M.N., Kumar A., Goswami P., Althobaiti S., Aljohani A.F. (2024). Numerical Solution of Emden–Fowler Heat-Type Equations Using Backward Difference Scheme and Haar Wavelet Collocation Method. Mathematics, 12(23), 3692.    [SCIE (WOS) + Scopus  |  IF: 2.3  |  CS: 2.78]
  • Verma S., Kumar R., Gour M.M., Goswami P. (2024). Inclusion and convolution properties of a q-generalized class of convex functions. Palestine Journal of Mathematics, 13(4).    [Scopus  |  CS: 0.5]
  • Dubey R.S., Goswami P., Baskonus H.M., Tailor Gomati A. (2023). On the existence and uniqueness analysis of fractional blood glucose-insulin minimal model. International Journal of Modeling, Simulation, and Scientific Computing, 14(03), 2350008.    [ESCI (WOS) + Scopus  |  IF: 1.4  |  CS: 1.7]
  • Sharma S., Goswami P., Baleanu D., Dubey R.S. (2023). Comprehending the model of omicron variant using fractional derivatives. Applied Mathematics in Science and Engineering, 31(1), 2159027.    [ESCI (WOS) + Scopus  |  IF: 2.9  |  CS: 3.2]
  • Albalawi K.S., Alkahtani B.S., Kumar A., Goswami P. (2023). Numerical solution of time-fractional Emden–Fowler-type equations using the rational homotopy perturbation method. Symmetry, 15(2), 258.    [SCIE (WOS) + Scopus  |  IF: 2.2  |  CS: 2.30]
  • Albalawi K.S., Shokhanda R., Goswami P. (2023). On the solution of generalized time-fractional telegraphic equation. Applied Mathematics in Science and Engineering, 31(1), 2169685.    [ESCI (WOS) + Scopus  |  IF: 2.9  |  CS: 3.2]
  • Albalawi K.S., Alazman I., Prasad J.G., Goswami P. (2023). Analytical Solution of the Local Fractional KdV Equation. Mathematics, 11(4), 882.    [SCIE (WOS) + Scopus  |  IF: 2.3  |  CS: 2.78]
  • Althubiti S., Kumar M., Goswami P., Kumar K. (2023). Artificial neural network for solving the nonlinear singular fractional differential equations. Applied Mathematics in Science and Engineering, 31(1), 2187389.    [ESCI (WOS) + Scopus  |  IF: 2.9  |  CS: 3.2]
  • Althubiti S., Sharma S., Goswami P., Dubey R.S. (2023). Fractional SIAQR model with time dependent infection rate. Arab Journal of Basic and Applied Sciences, 30(1), 307–316.    [ESCI (WOS) + Scopus  |  IF: 2.2  |  CS: 2.5]
  •  Alazman I., Albalawi K., Goswami P., Malik K. (2023). A restricted SIR model with vaccination effect for the epidemic outbreaks concerning COVID-19. Computer Modeling in Engineering & Sciences, 137(3), 2409.    [SCIE (WOS) + Scopus  |  IF: 2.2  |  CS: 2.8]
  • Sharma R., Goswami P., Dubey R.S., Belgacem F.B.M. (2023). A new fractional derivative operator and its application to diffusion equation. Mathematical Methods in the Applied Sciences, 12.    [SCIE (WOS) + Scopus  |  IF: 2.1  |  CS: 2.26]
  • Kumar A., Goswami P. (2023). Numerical solution of general Emden–Fowler equation using Haar wavelet collocation method. International Journal of Computer Mathematics, 100(9), 1918–1940.    [SCIE (WOS) + Scopus  |  IF: 1.7  |  CS: 2.5]
  • Pokhriyal B., Goswami P. (2023). A generalized local fractional LWR model of vehicular traffic flow and its solution. Mathematical Methods in the Applied Sciences.    [SCIE (WOS) + Scopus  |  IF: 2.1  |  CS: 2.26]
  • Albalawi K.S., Kumar A., Alkahtani B.S., Goswami P. (2023). Solving general fractional Lane-Emden-Fowler differential equations using Haar wavelet collocation method. Fractal and Fractional, 7(8), 628.    [SCIE (WOS) + Scopus  |  IF: 3.3  |  CS: 6.0]
  • Pokhriyal B., Goswami P., Kumar K. (2023). Analytical solution of local fractal continuum traffic flow model. Physica Scripta, 98(12), 125212.    [SCIE (WOS) + Scopus  |  IF: 2.6  |  CS: 2.68]
  • Albalawi K.S., Malik K., Alkahtani B.S.T., Goswami P. (2023). An analysis of the effects of lifestyle changes by using a fractional-order population model of the overweight/obese diabetic population. Fractal and Fractional, 7(12), 839.    [SCIE (WOS) + Scopus  |  IF: 3.3  |  CS: 6.0]
  • Sharma N., Goswami P., Joshi S. (2023). Analysis of the n-Term Klein-Gordon Equations in Cantor Sets. Chaos Theory and Applications, 5(4), 308–317.    [ESCI (WOS) + Scopus  |  CS: 1.5]
  • Jafari H., Goswami P., Dubey R.S., Sharma S., Chaudhary A. (2023). Fractional SIZR model of Zombie infection. Int. J. Math. Comput. Eng, 1(1), 91–104.    [ESCI (WOS) + Scopus  |  IF: 2.5  |  CS: 3.0]
  • Dubey R.S., Huseen S.N., Goswami P., Tailor G. (2023). Solution of Nonlinear Fractional Differential Equations by q-Homotopy Transformation Method. Discontinuity, Nonlinearity, and Complexity, 11(02), 329–340.    [Scopus  |  CS: 0.7]

For a complete list of publications, please see https://scholar.google.com/citations?user=2t_F1_sAAAAJ&hl=en

 

Seminar/Conferences

  • Invited Speaker & Session Chair, RTESD 2023, 3rd International Conference on Recent Trends in Environment and Sustainable Development | Vivekananda Global University, Jaipur | 22–24 December 2023
  • Paper Presentation, ICMAACS 2023 (International Conference on Mathematical Analysis, Applications and Computational Simulation) Paper "A Generalized Local Fractional LWR Model of Vehicular Traffic Flow and Its Solution" | Shanghai, China | November 23, 2023 |
  • Paper Presentation, NCAMN 2022 (National Conference on Applied Mathematics and Numerics) Paper: "A restricted SIR model with vaccination for the epidemic outbreaks concerning covid-19" | Mar Ivanios College, Trivandrum | 8–10 March 2023
  • Co-Convenor of 3rd Conference on Algebra, Analysis and Applications| Dr B.R. Ambedkar University | 5 August 2022
  • Co-Convenor of 2nd Conference on Algebra, Analysis and Applications | Dr B.R. Ambedkar University | 24 April 2021

 

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