title: 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.
authors.affiliation: Department of Mathematics, College of Arts and Science, Prince Sattam Bin Abdulaziz University, 11991 Wadi Aldawser, Saudi Arabia.
authors.forename: Kottakkaran Sooppy
authors.identifier: 0000-0001-5769-4320
authors.initials: KS
authors.lastname: Nisar
authors.affiliation: Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Çankaya University, 0630 Ankara, Turkey.
authors.forename: Dumitru
authors.initials: D
authors.lastname: Baleanu
authors.affiliation: Department of Mathematics, King Saud University, 12372 Riyadh, Saudi Arabia.
authors.forename: Maysaa' Mohamed Al
authors.initials: MM
authors.lastname: Qurashi
keywords: Fractional calculus; Fractional kinetic equations; Generalized Struve function; Integral transforms; Laplace transforms