Certain fractional calculus formulas involving extended generalized Mathieu series

Abstract

Abstract We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral transforms. Finally, we discuss special cases.

Keywords

• Fractional integral operators
• Fractional derivative operators
• Extended generalized Mathieu series
• Hypergeometric function
• Gamma function