On new approach of existence solutions for Atangana-Baleanu fractional neutral differential equations with dependence on the Lipschitz first derivatives
Abstract
In this article, we establish the result on existence and uniqueness of a Atangana-Baleanu fractional neutral differential equations with dependence on the Lipschitz first derivative conditions in Banach space. These results are based on fixed point theorems. Moreover, an example is also provided to illustrate the main results.
Copyright © 2021 V. Pandiyammal, U. Karthik Raja. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
V. Pandiyammal, U. K. Raja, On new approach of existence solutions for Atangana-Baleanu fractional neutral differential equations with dependence on the Lipschitz first derivatives, J. Math. Comput. Sci. 11 (2021), 4203–4215. https://doi.org/10.28919/jmcs/5572
BibTeX
@article{Pandiyammal2021,
author = {Pandiyammal, V. and Raja, U. Karthik},
title = {On new approach of existence solutions for Atangana-Baleanu fractional neutral differential equations with dependence on the Lipschitz first derivatives},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {4203--4215},
doi = {10.28919/jmcs/5572}
}