New results on existence in the framework of Atangana–Baleanu derivative for fractional integro-differential equations

C. Ravichandran, K. Logeswari and Fahd Jarad

Chaos, Solitons & Fractals, 2019, vol. 125, issue C, 194-200

Abstract: In this article, we consider integro-differential equations involving the recently explored Atangana–Baleanu fractional derivatives which contain the generalized Mittag-Leffler functions in their kernels. Utilizing fixed point techniques, we examine the existence and uniqueness of solutions to such equations in Banach spaces. Moreover, we consider an example and investigate numerical outcomes for various values of the fractional order. Then, we consider the stability of the tackled integro-differential equation in the frame of Ulam.

Keywords: Fractional differential equation; Atangana–Baleanu derivative; Fixed point techniques (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (19)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:125:y:2019:i:c:p:194-200

DOI: 10.1016/j.chaos.2019.05.014

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