Existence results of sequential fractional Caputo sum-difference boundary value problem

AIMS Mathematics

article

Chanisara Metpattarahiran¹  Thitiporn Linitda¹  Thanin Sitthiwirattham¹ 

[1] Mathematics Department, Faculty of Science and Technology, Suan Dusit University

关键词: fractional sum-difference equations;    boundary value problem;    existence;    uniqueness;   

DOI  :  10.3934/math.2022829

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY