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

Daljeet Kaur, Praveen Agarwal, Madhuchanda Rakshi, Mehar Chand

• 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