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Title
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Study of a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal BCs
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Type
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JournalPaper
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Keywords
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$\psi$-Hilfer fractional derivative; Nonlocal conditions; Existence and uniqueness; Kuratowski measure of noncompactness; Stability
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Abstract
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This paper deals with the existence and uniqueness of solutions for a nonlinear1 boundary value problem involving a sequential $\psi$-Hilfer fractional integro-differential equations with nonlocal boundary conditions. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle, Sadovski’s fixed point theorem, and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk. In addition, the Ulam-Hyers stability of solutions is discussed. Finally, the obtained results are illustrated by examples.
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Researchers
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shahram Rezapour (Third Researcher), Mohammad Esmael Samei (Second Researcher), Faouzi Haddouchi (First Researcher)
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