@article{Metpattarahiran2022, 
author = {Chanisara Metpattarahiran and Thitiporn Linitda and Thanin Sitthiwirattham},
title = {Existence results of sequential fractional Caputo sum-difference boundary value problem},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {8},
pages = {15120-15137},
keywords = {fractional sum-difference equations, boundary value problem, existence, uniqueness},
url = {https://www.sciopen.com/article/10.3934/math.2022829},
doi = {10.3934/math.2022829},
abstract = {In this article, we study the existence and uniqueness results for a sequential nonlinear Caputo fractional sum-difference equation with fractional difference boundary conditions by using the Banach contraction principle and Schaefer's fixed point theorem. Furthermore, we also show the existence of a positive solution. Our problem contains different orders and four fractional difference operators. Finally, we present an example to display the importance of these results.}
}