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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Publisher
Amer inst Mathematical Sciences-aims
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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
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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
Source
Volume
7
Issue
3
Start Page
4386
End Page
4404