Generalized Mittag-Leffler Function Associated with Weyl Fractional Calculus Operators

الملخص EN

This paper is devoted to study further properties of generalized Mittag-Leffler function Eα,β,pγ,δ,q associated with Weyl fractional integral and differential operators.

A new integral operator ℰα,β,p,w,∞γ,δ,q depending on Weyl fractional integral operator and containing Eα,β,pγ,δ,q(z) in its kernel is defined and studied, namely, its boundedness.

Also, composition of Weyl fractional integral and differential operators with the new operator ℰα,β,p,w,∞γ,δ,q is established.