Open AccessClass of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function
Author(s) -
D. L. Suthar,
Sunıl Dutt Purohıt,
Haile Habenom,
Jagdev Singh
Publication year - 2021
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2021019
Subject(s) - bessel function , mathematics , laplace transform , struve function , two sided laplace transform , fourier transform , mellin transform , hankel transform , mathematical analysis , fractional fourier transform , function (biology) , laplace transform applied to differential equations , integral transform , bessel polynomials , cylindrical harmonics , green's function for the three variable laplace equation , index (typography) , inverse laplace transform , gegenbauer polynomials , orthogonal polynomials , fourier analysis , classical orthogonal polynomials , computer science , evolutionary biology , world wide web , biology
In this article, we have investigated certain definite integrals and various integral transforms of the generalized multi-index Bessel function, such as Euler transform, Laplace transform, Whittaker transform, K-transform and Fourier transforms. Also found the applications of the problem on fractional kinetic equation pertaining to the generalized multi-index Bessel function using the Sumudu transform technique. Mittage-Leffler function is used to express the results of the solutions of fractional kinetic equation as well as its special cases. The results obtained are significance in applied problems of science, engineering and technology.