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arXiv · 2007.11034

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

Sagar T. Sutar·Kishor D. Kucche
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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.

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Sagar T. Sutar, Kishor D. Kucche. 2020-07-21. On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative. https://doi.org/10.1016/j.chaos.2020.110557

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