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On An Extension Of The Operator With Mittag-Leffler Kernel

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohammed Al-Refai & Dumitru Baleanu, 2022. "On An Extension Of The Operator With Mittag-Leffler Kernel," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-7, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401296
    DOI: 10.1142/S0218348X22401296
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    Cited by:

    1. Shiri, Babak & Baleanu, Dumitru, 2023. "All linear fractional derivatives with power functions’ convolution kernel and interpolation properties," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Odibat, Zaid & Baleanu, Dumitru, 2023. "A new fractional derivative operator with generalized cardinal sine kernel: Numerical simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 212(C), pages 224-233.

    More about this item

    Keywords

    Fractional Calculus; Mittag-Leffler Kernel;

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