Study on existence and data dependence results for fractional order differential equations

C. Ravichandran, V. Sowbakiya and Kottakkaran Sooppy Nisar

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

Abstract: In this paper, we examine the multi-derivative nonlinear fractional integro-differential equations involving Atangana-Baleanu fractional derivative of Riemann-Liouville sense. We study the elementary results about the existence and difference solution on different data, based on T. R. Prabhakar fractional integral operator εσ,η,ϑ;c+γ involving generalized Mittag-Leffler function. The results are obtained by using Krasnoselskii's fixed point theorem and Gronwall-Bellman inequality.

Keywords: Fractional calculus; Fixed point techniques; Gronwall-Bellman inequality (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004428

DOI: 10.1016/j.chaos.2022.112232

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