Generalized Mittag-Leffler Function Associated with Weyl Fractional Calculus Operators
Keyword(s):
This paper is devoted to study further properties of generalized Mittag-Leffler functionEα,β,pγ,δ,qassociated with Weyl fractional integral and differential operators. A new integral operatorℰα,β,p,w,∞γ,δ,qdepending on Weyl fractional integral operator and containingEα,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 operatorℰα,β,p,w,∞γ,δ,qis established.
2019 ◽
Vol 15
(2)
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pp. 61-73
2004 ◽
Vol 8
(4)
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pp. 559-568
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2021 ◽
Vol 500
(1)
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pp. 125169