Maharani Janki Kunwar College, Bettiah
( A Constituent Unit of B.R.A. Bihar University, Muzaffarpur )
Dr. Ranbir Kumar
Assistant Professor (Mathematics),
Science
Email Address: [email protected]
Qualifications
| M.Sc. (IIT Kharagpur), CSIR NET, IIT GATE, IIT JAM |
Area Of Research
| Fractional Calculus, Wavelet methods, Epidemiological Modelling, Disease Models, Mathematical Modelling, Nonlinear Dynamics and Chaos |
Professional Experience
| • Senior Research Fellow: Project entitled “Wavelet methods for nonlinear fractional partial differential equations with engineering applications”, Sponsored by NBHM (DAE). 21 July 2017-20 June-2020 |
List Of Publications
| S. Kumar, Ranbir Kumar, C. Cattani, B. Samet, Chaotic behaviour of fractional predator-prey dynamical system, Chaos, Solitons & Fractals:.-135, 109811 (2020). (Elsevier, SCI, Impact Factor – 3.764). |
| S. Kumar, Ranbir Kumar, RP Agarwal, B Samet, A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods Mathematical Methods in the Applied Sciences, vol.-8, pp.-43 (2020). (Wiley, SCI, Impact Factor – 1.77). |
| S. Kumar, Ranbir Kumar, S Momani, S Hadid, A study on fractional COVID-19 disease model by using Hermite wavelets, Mathematical Methods in the Applied Sciences, (2021) ,( https://doi.org/10.1002/mma.7065), (Wiley, SCI, Impact Factor – 1.77). |
| S. Kumar, Ranbir Kumar, MS Osman, B Samet, A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials, Numerical Methods for Partial Differential Equations, 37(2), 1250--1268 (2021), . (Elsevier, SCI, Impact Factor – 2.236). |
| S. Kumar, Ranbir Kumar, HM Srivastava, Sunil Kumar, Samir Hadid: A chaos study of fractional SIR epidemic model of childhood diseases, Result in physics. (2021), (https://doi.org/10.1016/j.rinp.2021.104422). (Elsevier, SCI, Impact Factor –4.019). |
| B. Ghanbari, S. Kumar, Ranbir Kumar. A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative, Chaos, Solitons & Fractals:-133, 109619 (2020). (Elsevier, SCI, Impact Factor – 3.764). |
| Ranbir Kumar, S. Kumar, J Singh, Z Al-Zhour, A comparative study for fractional chemical kinetics and carbon dioxide CO2 absorbed into phenyl glycidyl ether problems, AIMS Mathematics,5(4):3201-3222 (2020) . (SCI, Impact Factor – 0.882). |
| S. Kumar, Ranbir Kumar, J Singh, KS Nisar, D Kumar, An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy: Alexandria Engineering Journal, https://doi.org/10.1016/j.aej.2019.12.046 (2020). (SCI, Impact Factor – 2.460). |
| S. Kumar, KS Nisar, Ranbir Kumar, C Cattani, B Samet, A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force, Mathematical Methods in the Applied Sciences, vol.-43(60), pp.-4460-4471 (2020). (Wiley, SCI, Impact Factor – 1.77). |
| S. Kumar, A Ahmadian, Ranbir Kumar, D Kumar, J Singh, D Baleanu, M Salimi, An efficient numerical method for fractional SIR epidemic model of infectious disease by using Bernstein wavelets, Mathematics, vol.-8 (4), 588 (2020). (SCI, Impact Factor -1.747 ). |
| M Jleli, S Kumar, Ranbir Kumar, B Samet, Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method, Alexandria Engineering Journal, (https://doi.org/10.1016/ j.aej.2019.12.022). (SCI, Impact Factor – 2.460). |
| S. Kumar, S. Ghosh, Ranbir Kumar, Mohamed Jleli, A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods: Numerical Methods for Partial Differential Equations, 37(2), 1652-1672 (2021), . (Elsevier, SCI, Impact Factor – 2.236). |
Conference Attended (National/International)
| International Conference on Applied and Computational Mathematics, November 23-25,2018. |
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