Fractional Calculus involving (p, q)-Mathieu Type Series

By Daljeet Kaur, Praveen Agarwal, Madhuchanda Rakshit, Mehar Chand. 2020

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Abstract Aim of the present paper is to establish fractional integral formulas by using fractional calculus operators involving the generalized (p, q)-Mathieu type series. Then, their composition formulas by using the integral transforms are introduced. Further, a new generalized form of the fractional kinetic equation involving the series is also developed. The solutions of fractional kinetic equations are presented in terms of the Mittag-Leffler function. The results established here are quite general in nature and capable of yielding both known and new results.

Subfields: Applied Mathematics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/41f1b3472944bc4cd495299663d34dc087c88630