Solution of fractional kinetic equations associated with the \((p, q)\)-Mathieu-type series
type: Item
instance of: scholarly article
title: Solution of fractional kinetic equations associated with the \((p, q)\)-Mathieu-type series
zbMATH Open document ID: 1459.34045
DOI: 10.1155/2020/8645161
author: D. L. Suthar
author: Serkan Araci
author: S. D. Purohit
published in: Discrete Dynamics in Nature and Society
publication date: 2020-10-14T00:00:00Z
review text: Summary: In this paper, our aim is to finding the solutions of the fractional kinetic equation related with the \((p, q)\)-Mathieu-type series through the procedure of Sumudu and Laplace transforms. The outcomes of fractional kinetic equations in terms of the Mittag-Leffler function are presented.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A25
zbMATH DE Number: 7260935
describes a project that uses: ML
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/8645161
OpenAlex ID: W3082835985
cites work: Q3455522
cites work: Application of Laplace transform on fractional kinetic equation pertaining to the generalized Galué type Struve function
cites work: Computable solution of fractional kinetic equations using Mathieu-type series
cites work: Q3514074
cites work: Q4619704
cites work: On generalized fractional kinetic equations involving generalized Bessel function of the first kind
cites work: Q5263384
cites work: Solutions of fractional kinetic equation associated with the generalized multiindex Bessel function via Laplace transform
cites work: Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series
cites work: Q4821487
cites work: New integral forms of generalized Mathieu series and related applications
cites work: Q4821374
cites work: Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity
cites work: On a new (p,q)-Mathieu-type power series and its applications
cites work: EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
cites work: The fractional kinetic equation and thermonuclear functions.
cites work: Operators of fractional integration and their applications
cites work: Functional inequalities for the Mittag-Leffler functions
cites work: Turán type inequalities for classical and generalized Mittag-Leffler functions
cites work: The Prabhakar or three parameter Mittag-Leffler function: theory and application
cites work: Q3871989
cites work: Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function
cites work: Sumudu transform: a new integral transform to solve differential equations and control engineering problems
cites work: Sumudu transform and the solution of integral equations of convolution type
cites work: Sumudu transform fundamental properties investigations and applications
cites work: Analytical investigations of the Sudumu transform and applications to integral production equations
cites work: Some remarks on the Sumudu and Laplace transforms and applications to differential equations
cites work: A note on the comparison between Laplace and Sumudu transforms
cites work: On the applications of Laplace and Sumudu transforms
cites work: The intrinsic structure and properties of Laplace-typed integral transforms
description: scientific article; zbMATH DE number 7260935