Qualitative properties of solutions of nonlinear boundary value problem involving ψ-Caputo fractional derivative
Abstract
This paper studies qualitative properties such as existence-uniqueness of solutions for nonlinear boundary value problems involving ψ-Caputo fractional derivative. Comparison result is proved for differential equations involving ψ-Caputo fractional derivative. Monotone iterative technique coupled with method of lower-upper solutions is used to establish the existence and uniqueness of solutions for nonlinear boundary value problems involving ψ-Caputo fractional derivative.
Copyright © 2021 J.A. Nanware, Madhuri N. Gadsing. 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
J. A. Nanware, M. N. Gadsing, Qualitative properties of solutions of nonlinear boundary value problem involving ψ-Caputo fractional derivative, J. Math. Comput. Sci. 11 (2021), 6308–6326. https://doi.org/10.28919/jmcs/6152
BibTeX
@article{Nanware2021,
author = {Nanware, J.A. and Gadsing, Madhuri N.},
title = {Qualitative properties of solutions of nonlinear boundary value problem involving ψ-Caputo fractional derivative},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6308--6326},
doi = {10.28919/jmcs/6152}
}