On fractional hybrid and non-hybrid multi-term integro-differential inclusions with three-point integral hybrid boundary conditions

DOI10.1186/s13662-020-02627-8zbMath1482.34067OpenAlexW3031568062MaRDI QIDQ2058226

Sina Etemad, Shahram Rezapour, Mohammad Esmael Samei

Publication date: 7 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02627-8

zbMATH Keywords

boundary value problemapproximate endpoint propertyDhage fixed point theoremfractional hybrid integro-differential inclusion

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

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Existence theorems for \(\Psi \)-fractional hybrid systems with periodic boundary conditions ⋮ Some results on a system of multiterm fractional integro-differential equations ⋮ On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions ⋮ A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions ⋮ On a strong-singular fractional differential equation ⋮ Topological degree theory and Caputo-Hadamard fractional boundary value problems ⋮ Numerical solution of the fractional relaxation-oscillation equation by using reproducing kernel Hilbert space method

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