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Title
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Solvability of a generalized $\pmb{\psi}$-Riemann-Liouville fractional BVP under nonlocal boundary conditions
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Type
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JournalPaper
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Keywords
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$\psi$-Riemann-Liouville fractional differential equation, existence and uniqueness, Banach contraction principle, Boyd-Wong contraction principle, Rus's contraction principle
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Abstract
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In this paper we consider a class of nonlinear BVP involving fractional derivative in the $\psi$-Riemann-Liouville sense with nonlocal boundary conditions. By means of some properties of the Green's function and fixed point theorems due to Banach, Boyd-Wong, and Rus, existence of a unique solution is obtained. We have some examples that prove the theory is true.
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Researchers
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Mohammad Esmael Samei (Second Researcher), Faouzi Haddouchi (First Researcher)
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