Existence results by Mönch's fixed point theorem for a tripled system of sequential fractional differential equations

AIMS Mathematics

article

Abeer Al Elaiw¹  Murugesan Manigandan²  Muath Awadalla¹  Kinda Abuasbeh¹ 

[1] Department of Mathematics and Statistics, College of Science, King Faisal University;Sri Ramakrishna Mission vidyalaya college of arts and science

关键词: Caputo fractional derivative;    tripled system;    existence;    mixed boundary conditions;    H-U stability;   

DOI  :  10.3934/math.2023199

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this paper, we study the existence of the solutions for a tripled system of Caputo sequential fractional differential equations. The main results are established with the aid of Mönch's fixed point theorem. The stability of the tripled system is also investigated via the Ulam-Hyer technique. In addition, an applied example with graphs of the behaviour of the system solutions with different fractional orders are provided to support the theoretical results obtained in this study.

【 授权许可】

CC BY