Browsing by Author "Gupta, Arpita"

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    Citation - WoS: 8
    Citation - Scopus: 15
    Fractional Dynamics and Analysis of Coupled Schrodinger-Kdv Equation With Caputo-Katugampola Type Memory
    (Asme, 2023) Gupta, Arpita; Baleanu, Dumitru; Singh, Jagdev
    Fundamental purpose of the current research article is to analyze the behavior of obtained results of time fractional nonlinear coupled Schrodinger-KdV equation, via implementing an effective analytical technique. In this work, Katugampola fractional derivative in Caputo type is used to model the problem. The coupled Schrodinger-KdV equation describes several kinds of wave propagation in plasma physics, like electromagnetic waves, dust-acoustic waves, and Langmuir waves. The fixed point theorem is used to present the existence and uniuness analysis of obtained solution of the discussed model. Numerical simulation and graphical behavior of the model are presented to show the reliability of the implemented analytical technique. A comparative analysis of exact and obtained approximate solutions is also presented.
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    Citation - WoS: 32
    Citation - Scopus: 38
    On the Analysis of an Analytical Approach for Fractional Caudrey-Dodd Equations
    (Elsevier, 2022) Gupta, Arpita; Baleanu, Dumitru; Singh, Jagdev
    The principal aim of this paper is to study the approximate solution of nonlinear Caudrey-Dodd-Gibbon equation of fractional order by employing an analytical method. The Caudrey-Dodd-Gibbon equation arises in plasma physics and laser optics. The Caputo derivative is applied to model the physical problem. By applying an effective semi-analytical technique, we attain the approximate solutions without linearization. The uniqueness and the convergence analysis for the applied method are shown. The graphical representation of solutions of fractional Caudrey-Dodd-Gibbon equation demonstrates the applied technique is very efficient to obtain the solutions of such type of fractional order mathematical models. (c) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).