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Fractional Order Volterra Integro-Differential Equation With Mittag-Leffler Kernel

Author

Listed:
  • HASIB KHAN

    (Department of Mathematics, Shaheed Benazir Bhutto University Sheringal, Dir Upper 18000, Khybar Pakhtunkhwa, Pakistan)

  • THABET ABDELJAWAD

    (��Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia‡Department of Medical Research, China Medical University, Taichung 40402, Taiwan§Department of Computer Science and Information Engineering, Asia University, Taichung, Taiwan)

  • J. F. GÓMEZ-AGUILAR

    (�CONACyT-Tecnológico Nacional de México/CENIDET, Interior, Internado Palmira S/N, Col. Palmira, C. P. 62490, Cuernavaca, Morelos, México)

  • HALEH TAJADODI

    (��Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran)

  • AZIZ KHAN

    (��Department of Mathematics and General Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia)

Abstract

In literature, the integro-differential equations (IDEs) are very much common in the engineering as well in the scientific fields for modeling of dynamical problems. There is a large number of contributions in the study of IDEs for the integer orders. But the cases in fractional order are limited and need consideration of the researchers in the area. In this paper, we initiate a study for fractional Volterra IDEs with Mittag-Leffler kernel for the existence, stability and numerical simulations. For the expression of the results, illustrative work is included.

Suggested Citation

  • Hasib Khan & Thabet Abdeljawad & J. F. Gã“Mez-Aguilar & Haleh Tajadodi & Aziz Khan, 2021. "Fractional Order Volterra Integro-Differential Equation With Mittag-Leffler Kernel," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-11, September.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:06:n:s0218348x21501541
    DOI: 10.1142/S0218348X21501541
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