On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative
Dynamical Systems
2021-02-03 v1 Analysis of PDEs
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
Cite
@article{arxiv.2007.11034,
title = {On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative},
author = {Sagar T. Sutar and Kishor D. Kucche},
journal= {arXiv preprint arXiv:2007.11034},
year = {2021}
}
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