Existence results for perturbed boundary value problem with fractional order (Q6598028)

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scientific article; zbMATH DE number 7906430
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Existence results for perturbed boundary value problem with fractional order
scientific article; zbMATH DE number 7906430

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    Existence results for perturbed boundary value problem with fractional order (English)
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    4 September 2024
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    In this paper paper, a class of fractional differential equations with fractional derivative boundary conditions are investigated. Firstly, the Green's function for associated BVP and their properties are given. Secondly, based on the these properties and fixed point theorems, the existence of solutions of BVP with nonlinearity are presented. Finally, two examples are given to illustrate the applicability of the obtained results.
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    positive solution
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    nonlinear fractional differential equation
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    Green's function
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