Fractional calculus and application of generalized Struve function

Abstract

A new generalization of Struve function called generalized Galué type Struve function (GTSF) is defined and the integral operators involving Appell’s functions, or Horn’s function in the kernel is applied on it. The obtained results are expressed in terms of the Fox–Wright function. As an application of newly defined generalized GTSF, we aim at presenting solutions of certain general families of fractional kinetic equations associated with the Galué type generalization of Struve function. The generality of the GTSF will help to find several familiar and novel fractional kinetic equations. The obtained results are general in nature and it is useful to investigate many problems in applied mathematical science.

Certain integral Transforms of the generalized Lommel-Wright function

“…Various generalizations, integrals, transforms and fractional calculus of special functions have been investigated by many researchers (see, for details, [1,2,6,7,9,12,13,14,15,16,17,18,20]).…”

Solutions of Generalized Fractional Kinetic Equations via Sumudu Transforms Involving Bessel-Struve Kernel Function

“…The details about fractional kinetic equations and solutions, one can refer to [11,[17][18][19][20][21][22][23][24][25]30] 3. Solution of generalized fractional Kinetic equations involving (1.…”

Application of Laplace Transform on Fractional Kinetic Equation Pertaining to the Generalized Galué Type Struve Function

“…Recently, generalized form of Struve function so-called as generalized Galué type Struve function (GTSF) is defined by Nisar et al [20], following as , , , , ( )…”

“…2 Advances in Mathematical Physics where ( ) is Struve function of order , which is defined by Nisar et al [20].…”