New Results for a Coupled System of Abr Fractional Differential Equations With Sub-Strip Boundary Conditions
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Date
2022
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Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
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No
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Abstract
In this article, we investigate sufficient conditions for the existence, uniqueness and UlamHyers (UH) stability of solutions to a new system of nonlinear ABR fractional derivative of order 1 < e <= 2 subjected to multi-point sub-strip boundary conditions. We discuss the existence and uniqueness of solutions with the assistance of Leray-Schauder alternative theorem and Banach's contraction principle. In addition, by using some mathematical techniques, we examine the stability results of Ulam-Hyers (UH). Finally, we provide one example in order to show the validity of our results.
Description
Aljaaidi, Tariq A./0000-0003-4316-5895; Almalahi, Mohammed. A./0000-0001-5719-086X
Keywords
Sub-Strip Boundary Conditions, Coupled System, Existence, Fixed Point Theorem, existence, QA1-939, fixed point theorem, sub-strip boundary conditions, coupled system, Mathematics
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
Citation
Almalahi, Mohammed A.;...et.al. (2022). "New results for a coupled system of abr fractional differential equations with sub-strip boundary conditions", AIMS Mathematics, Vol.7, No.3, pp.4386-4404.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
2
Source
AIMS Mathematics
Volume
7
Issue
3
Start Page
4386
End Page
4404
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Scopus : 2
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2
checked on Feb 03, 2026
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2
checked on Feb 03, 2026
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