Stability results of positive solutions for a system of ψ -Hilfer fractional differential equations
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Date
2021
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Pergamon-elsevier Science Ltd
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Abstract
The major objective of this work is to investigate sufficient conditions of existence and uniqueness of positive solutions for a finite system of psi-Hilfer fractional differential equations. The gained results are obtained by building the upper and lower control functions of the nonlinear expression with the help of fixed point theorems such as Banach and Schauder. Furthermore, we establish various kinds of Ulam stability results by applying the techniques of nonlinear functional analysis. A pertinent example is provided to corroboration of the results obtained. (C) 2021 Elsevier Ltd. All rights reserved.
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Almalahi, Mohammed. A./0000-0001-5719-086X
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Psi-Hilfer Fdes, Boundary Conditions, Control Functions, Lower And Upper Solutions, Fixed Point Theorem
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Citation
Almalahi, Mohammed A.; Panchal, Satish K.; Jarad, Fahd (2021). "Stability results of positive solutions for a system of ψ -Hilfer fractional differential equations", Chaos, Solitons and Fractals, Vol. 147.
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147