Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative
Analysis of PDEs
2021-02-03 v1 Dynamical Systems
Abstract
In the present paper, we determine the estimations on Atangana-Baleanu-Caputo fractional derivative at extreme points. With the assistance of the estimations obtained, we derive the comparison results. Peano's type existence results established for nonlinear fractional differential equations involving Atangana-Baleanu-Caputo fractional derivative. The acquired comparison results are then utilized to deal with the existence of local, extremal and global solution.
Keywords
Cite
@article{arxiv.2007.09132,
title = {Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative},
author = {Kishor D. Kucche and Sagar T. Sutar},
journal= {arXiv preprint arXiv:2007.09132},
year = {2021}
}