Involvement of the topological degree theory for solving a tripled system of multi-point boundary value problems

AIMS Mathematics

article

Hasanen A. Hammad¹  Hassen Aydi³  Mohra Zayed⁶ 

[1] Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University;Department of Mathematics, Faculty of Science, Sohag University;Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication;China Medical University Hospital, China Medical University;Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University;Mathematics Department, College of Science, King Khalid University

关键词: degree theory;    boundary value problem;    fractional-order differential equation;    positive solution;   

DOI  :  10.3934/math.2023117

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

This article investigates the existence and uniqueness (EU) of positive solutions to the tripled system of multi-point boundary value problems (M-PBVPs) for fractional order differential equations (FODEs). The topological degree theory technique is employed to derive sufficient requirements for the (EU) of positive solutions to the proposed system. To justify the efficiency and validity of our study, an illustrative example is considered.

【 授权许可】

CC BY