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Fractional calculus and application of generalized Struve function

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2016

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Springer International Publishing AG

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Abstract

A new generalization of Struve function called generalized Galue 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 Galue 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.

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Keywords

Fractional Calculus, Generalized Struve Function, Integral Transforms, Fractional Kinetic Equations, Laplace Transforms

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Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Al Qurashi, Maysaa' Mohamed, "Fractional calculus and application of generalized Struve function", Springerplus, Vol. 5, (2016).

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Springerplus

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5

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