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Stability results of positive solutions for a system of ψ -Hilfer fractional differential equations

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  • Almalahi, Mohammed A.
  • Panchal, Satish K.
  • Jarad, Fahd

Abstract

The major objective of this work is to investigate sufficient conditions of existence and uniqueness of positive solutions for a finite system of ψ-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.

Suggested 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 & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s096007792100285x
    DOI: 10.1016/j.chaos.2021.110931
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    References listed on IDEAS

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