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Existence results for nonlinear neutral generalized Caputo fractional differential equations

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This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized… Click to show full abstract

This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We apply a variety assort of fixed point theorems such as Krasnoselskii and Banach. We also establish the Ulam–Hyers stability results for the addressed problem. Further, an example illustrate our acquired results.

Keywords: fractional differential; generalized caputo; caputo fractional; nonlinear neutral; neutral generalized

Journal Title: Journal of Pseudo-differential Operators and Applications
Year Published: 2021

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