ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL

Mohammed Al-Refai () and Dumitru Baleanu
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Mohammed Al-Refai: Department of Mathematics, Yarmouk University, Irbid, Jordan
Dumitru Baleanu: Department of Mathematics and Computer Science, Cankaya University, Angara, Turkey3Institute of Space Sciences, Magurele-Bucharest, Romania4Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-7

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.

Keywords: Fractional Calculus; Mittag-Leffler Kernel (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0218348X22401296

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