A new impulsive sequential multi-orders fractional differential equation with boundary conditions
Abstract
In this paper, we present a new impulsive sequential multi-orders fractional differential equation is studied. The existence and uniqueness results are obtained for a nonlinear problem with fractional integral boundary conditions applying standard fixed point theorems. An example for the illustration of the main result is given.
Copyright © 2020 Amer Dababneh, B. Sami, Ma’mon Abu Hammad, Amjed Zraiqat. 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
A. Dababneh, B. Sami, M. A. Hammad, A. Zraiqat, A new impulsive sequential multi-orders fractional differential equation with boundary conditions, J. Math. Comput. Sci. 10 (2020), 2871–2890. https://doi.org/10.28919/jmcs/4910
BibTeX
@article{Dababneh2020,
author = {Dababneh, Amer and Sami, B. and Hammad, Ma’mon Abu and Zraiqat, Amjed},
title = {A new impulsive sequential multi-orders fractional differential equation with boundary conditions},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {2871--2890},
doi = {10.28919/jmcs/4910}
}