On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative

Sagar T. Sutar and Kishor D. Kucche

Chaos, Solitons & Fractals, 2021, vol. 143, issue C

Abstract: In this paper, we develop the theory of nonlinear hybrid fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative. We construct the equivalent fractional integral equation and establish the existence results through it. Further, we build up the theory of inequalities for ABC-hybrid fractional differential equations and use it to examine the uniqueness, existence of a maximal and minimal solution and the comparison results.

Keywords: Hybrid fractional differential equations; Atangana-Baleanu-Caputo fractional derivative; Existence and uniqueness; Fractional differential inequalities; Comparison results; Maximal and minimal solutions (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309486

DOI: 10.1016/j.chaos.2020.110557

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