Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions (Q2675103)

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Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions
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    Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions (English)
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    20 September 2022
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    In this paper, the authors obtain some existence and uniqueness results for a coupled system of nonlinear Hilfer sequential fractional differential equations subject to integro-multistrip-multipoint boundary conditions, by applying Banach and Krasnosel'skiĭ fixed point theorems, and Leray-Schauder nonlinear alternative. Also Ulam-Hyers stability for the given problem is studied. The main results are well-illustrated with the aid of numerical examples.
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    sequential Hilfer fractional differential equations
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    coupled system
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    nonlocal integral-multipoint boundary conditions
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    incomplete gamma function
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    existence
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    fixed point
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    Ulam-Hyers stability
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