Browsing by Author "Kumar, D."
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Article Citation - WoS: 101Citation - Scopus: 116An Efficient Computational Approach for a Fractional-Order Biological Population Model With Carrying Capacity(Pergamon-elsevier Science Ltd, 2020) Dubey, V. P.; Kumar, R.; Singh, J.; Kumar, D.; Baleanu, D.; Srivastava, H. M.In this article, we examine a fractional-order biological population model with carrying capacity. The blended homotopy techniques pertaining to the Sumudu transform are utilized to explore the solutions of a nonlinear fractional-order population model with carrying capacity. The fractional derivative of the Caputo type is utilized in the proposed investigation. The numerical computations indicate the sufficiency of the iterations for the improved estimations of the solutions of this fractional-order biological population model which exemplifies the potency and soundness of the utilized schemes. The analysis explored through the utilization of the projected methods reveals that both of the schemes are in a great agreement with each other. The variations of the prey and predator populations with respect to time and fractional order of the Caputo derivative are presented and graphically illustrated. (c) 2020 Elsevier Ltd. All rights reserved.Editorial Guest Editors(Taru Publications, 2022) Singh, J.; Kumar, D.; Baleanu, D.Editorial Mathematical Methods and Modelling in Emerging Fields of Science and Engineering(Taru Publications, 2023) Kumar, D.; Baleanu, D.; Singh, J.Article Citation - Scopus: 11A Mathematical Theoretical Study of Atangana-Baleanu Fractional Burgers’ Equations(Elsevier B.V., 2024) Baleanu, D.; Jassim, H.K.; Ahmed, H.; Singh, J.; Kumar, D.; Shah, R.; Jabbar, K.A.In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model's mathematical solution. The solution's existence and uniqueness are examined using fixed point theory. Several numerical simulations that enhance the efficacy of the employed derivative are presented and discussed. © 2024Article Recent Advances in Special Functions, Fractional Operators and Their Real World Applications(Cambridge Scientific Publishers, 2021) Singh, J.; Baleanu, Dumitru; Baleanu, D.; Kumar, D.; Hammouch, Z.; MatematikThis special issue ”Recent Advances in Special Functions, Fractional Operators and their Real World Applications” of the journal Mathematics in Engineering, Science and Aerospace (MESA) is mainly collection of the research articles presented in 3rd International Conference on Mathematical Mod-elling, Applied Analysis and Computation (ICMMAAC-20) organized by the Department of Mathe-matics, JECRC University, Jaipur, India during August 7-9, 2020. This collection of articles is mainly concerned to address a wide range of special functions, operators of fractional order and their uses in mathematical modelling and computation of distinct problems of physical sciences, chemical sci-ences, biological sciences, engineering sciences, social science and economics. In the this special is-sue, expository and original research papers associated with the new trends and challenges in special functions and fractional order calculus and as well as their uses in real world problems are collected. Some are invited papers. © CSP - Cambridge, UK; I&S - Florida, USA, 2021
