Solution of fractional kinetic equations involving generalized Hurwitz-Lerch Zeta function using Sumudu transform

Abstract

Fractional kinetic equations (FKEs) comprising a large array of special functions have been extensively and successfully applied in specification and solving many significant problems of astrophysics and physics. In this present work, our aim is to demonstrate solutions of (FKEs) of the generalized Hurwitz-Lerch Zeta function by applying the Sumudu transform. In addition to these, solutions of (FKEs) in special conditions of generalised Hurwitz-Lerch Zeta function have been derived.

Keywords

• Hurwitz-Lerch Zeta function
• generalized Hurwitz-Lerch Zeta function
• fractional calculus
• fractional kinetic equation
• Mittag-Leffler function
• Sumudu transform

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