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

Hasanen A. Hammad; Hassen Aydi; Mohra Zayed; Hasanen A. Hammad; Hassen Aydi; Mohra Zayed

doi:10.3934/math.2023117

AIMS Mathematics

2023, Volume 8, Issue 1: 2257-2271. doi: 10.3934/math.2023117

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Research article

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

1.
Department of Mathematics, Unaizah College of Sciences and Arts, Qassim University, Buraydah 52571, Saudi Arabia
2.
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
3.
Université de Sousse, Institut Supérieur d'Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
4.
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
5.
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
6.
Mathematics Department, College of Science, King Khalid University, Abha, Saudi Arabia

Received: 01 July 2022 Revised: 17 October 2022 Accepted: 23 October 2022 Published: 31 October 2022
MSC : 34A08, 35R11

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.
- degree theory,
- boundary value problem,
- fractional-order differential equation,
- positive solution
Citation: Hasanen A. Hammad, Hassen Aydi, Mohra Zayed. Involvement of the topological degree theory for solving a tripled system of multi-point boundary value problems[J]. AIMS Mathematics, 2023, 8(1): 2257-2271. doi: 10.3934/math.2023117

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Abstract

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.

References

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