FRACTIONAL ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH MITTAG-LEFFLER KERNEL

Hasib Khan (), Thabet Abdeljawad, J. F. Gã“mez-Aguilar, Haleh Tajadodi () and Aziz Khan ()
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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. Gã“mez-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

FRACTALS (fractals), 2021, vol. 29, issue 06, 1-11

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.

Keywords: Fractional Volterra IDEs; Existence and Uniqueness of Solution; Stability Analysis; Numerical Simulation (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21501541

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