Solution of fractional kinetic equations associated with the \((p, q)\)-Mathieu-type series

DOI10.1155/2020/8645161zbMath1459.34045OpenAlexW3082835985MaRDI QIDQ2004204

D. L. Suthar, Serkan Araci, Sunil Dutt Purohit

Publication date: 14 October 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/8645161

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)

Related Items (7)

SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS ⋮ Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox-Wright functions ⋮ Novel finite point approach for solving time-fractional convection-dominated diffusion equations ⋮ The \(q\)-Sumudu transform and its certain properties in a generalized \(q\)-calculus theory ⋮ On the solutions for generalised multiorder fractional partial differential equations arising in physics ⋮ \((p,q)\)-extended Struve function: fractional integrations and application to fractional kinetic equations ⋮ On the Solution of Kinetic Equation for Katugampola Type Fractional Differential Equations

Uses Software

• ML

Cites Work

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• A note on the comparison between Laplace and Sumudu transforms
• Sumudu transform fundamental properties investigations and applications
• On generalized fractional kinetic equations involving generalized Bessel function of the first kind
• Turán type inequalities for classical and generalized Mittag-Leffler functions
• Analytical investigations of the Sudumu transform and applications to integral production equations
• Some remarks on the Sumudu and Laplace transforms and applications to differential equations
• The intrinsic structure and properties of Laplace-typed integral transforms
• The Prabhakar or three parameter Mittag-Leffler function: theory and application
• Functional inequalities for the Mittag-Leffler functions
• Computable solution of fractional kinetic equations using Mathieu-type series
• Application of Laplace transform on fractional kinetic equation pertaining to the generalized Galué type Struve function
• On the applications of Laplace and Sumudu transforms
• Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series
• Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss Ω-function
• Sumudu transform and the solution of integral equations of convolution type
• EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS
• Some families of generalized Mathieu-type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
• On a new (p,q)-Mathieu-type power series and its applications
• New integral forms of generalized Mathieu series and related applications
• The fractional kinetic equation and thermonuclear functions.
• Operators of fractional integration and their applications
• Solutions of fractional kinetic equation associated with the generalized multiindex Bessel function via Laplace transform

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