Title of article :
The extended Mittag-Leffler function via fractional calculus
Author/Authors :
Rahman ، Gauhar - International Islamic University , Baleanu ، Dumitru - Cankaya University , Al Qurashi ، Maysaa - King Saud University , Purohit ، Sunil Dutt - Rajasthan Technical University , Mubeen ، Shahid - University of Sargodha , Arshad ، Muhammad - International Islamic University
Abstract :
In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: [Mathematical formula]. as its kernel. We also investigate a certain number of their consequences containing the said function in their kernels.
Keywords :
Fractional integration , differential operator , Mittag , Leffler function , Lebesgue measurable function , extended Mittag , Leffler function
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
