On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

P. Agarwal; M. Chand; D. Baleanu; D. O’Regan; Shilpi Jain

doi:10.1186/s13662-018-1694-8

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

P. Agarwal
, M. Chand
, D. Baleanu
, D. O’Regan
, Shilpi Jain

International College of Engineering
Guru Kashi University
Cankaya University
Institute for Space Sciences
University of Galway
Poornima College of Engineering

Research output: Contribution to journal › Article › peer-review

59 Scopus citations

Abstract

The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅). The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.

Original language	English
Article number	249
Journal	Advances in Difference Equations
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13662-018-1694-8
State	Published - 1 Dec 2018
Externally published	Yes

Keywords

Fractional kinetic equation
Generalized k-Mittag-Leffler function
Laplace transforms

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10.1186/s13662-018-1694-8

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title = "On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function",

abstract = "The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅). The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.",

keywords = "Fractional kinetic equation, Generalized k-Mittag-Leffler function, Laplace transforms",

author = "P. Agarwal and M. Chand and D. Baleanu and D. O{\textquoteright}Regan and Shilpi Jain",

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T1 - On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

AU - Agarwal, P.

AU - Chand, M.

AU - Baleanu, D.

AU - O’Regan, D.

AU - Jain, Shilpi

PY - 2018/12/1

Y1 - 2018/12/1

N2 - The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅). The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.

AB - The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅). The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.

KW - Fractional kinetic equation

KW - Generalized k-Mittag-Leffler function

KW - Laplace transforms

UR - https://www.scopus.com/pages/publications/85050397752

U2 - 10.1186/s13662-018-1694-8

DO - 10.1186/s13662-018-1694-8

M3 - Article

AN - SCOPUS:85050397752

SN - 1687-1839

VL - 2018

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 249

ER -

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

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Keywords

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