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ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL

Mohammed Al-RefaiDepartment of Mathematics, Yarmouk University, Irbid, JordanDumitru BǎleanuDepartment of Mathematics and Computer Science, Cankaya University, Angara, Turkey
2022en
ABI

Abstract

Dealing with nonsingular kernels is not an easy task due to their restrictions at origin. In this short paper, we suggest an extension of the fractional operator involving the Mittag-Leffler kernel which admits integrable singular kernel at the origin. New solutions of the related differential equations were reported together with some perspectives from the modelling viewpoint.

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