MARICHEV-SAIGO-MAEDA FRACTIONAL CALCULUS OPERATORS WITH EXTENDED MITTAG-LEFFLER FUNCTION AND GENERALIZED GALUE TYPE STRUVE FUNCTION.

In this paper several fractional calculus operators have been introduced and investigated. The aim is to establish the Marichev-Saigo-Maeda (MSM) fractional calculus operators and Caputo-type MSM fractional differential operators involving the product of extended Mittag-Leffler function (EMLF) and generalized Galue Struve Type Function. Some of the particular cases of the main results are also derived. The results given in this paper are general in character and likely to find some applications in the theory of special functions. [ABSTRACT FROM AUTHOR]