Fractional Calculus involving ( <i>p</i> , <i>q</i> )-Mathieu Type Series
Daljeet Kaur, Praveen Agarwal, Madhuchanda Rakshit, Mehar Chand
Abstract
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.
Topics & Concepts
Fractional calculusMathematicsType (biology)Series (stratigraphy)Calculus (dental)Applied mathematicsFunction (biology)Pure mathematicsMathematical analysisEvolutionary biologyDentistryMedicineEcologyBiologyPaleontologyFractional Differential Equations SolutionsMathematical functions and polynomialsNonlinear Waves and Solitons