ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL-Reference-Cited by-同舟云学术

ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL

Published:2022-05-31 Issue:05 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

AL-REFAI MOHAMMED¹,BALEANU DUMITRU²³⁴

Affiliation:

1. Department of Mathematics, Yarmouk University, Irbid, Jordan

2. Department of Mathematics and Computer Science, Cankaya University, Angara, Turkey

3. Institute of Space Sciences, Magurele-Bucharest, Romania

4. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X22401296

Reference18 articles.

1. North-Holland Mathematics Studies;Kilbas A. A.,2006

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