Fractional hybrid differential equations with three-point boundary hybrid conditions

DOI10.1186/S13662-019-2067-7zbMath1459.34014OpenAlexW2936186975MaRDI QIDQ1739838

Mouffak Benchohra, Yong Zhou, Hadda Hammouche, Choukri Derbazi

Publication date: 29 April 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-019-2067-7

zbMATH Keywords

fixed point theoremCaputo fractional derivativefractional differential equationhybrid

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (23)

Existence results for hybrid fractional differential equations with three-point boundary conditions ⋮ Fractional \(p\)-Laplacian differential equations with multi-point boundary conditions in Banach spaces ⋮ On existence results for hybrid \(\psi-\)Caputo multi-fractional differential equations with hybrid conditions ⋮ Hyers-Ulam stability and existence of solution for hybrid fractional differential equation with \(p\)-Laplacian operator ⋮ Mixed fractional differential equation with nonlocal conditions in Banach spaces ⋮ Weak solutions for fractional Langevin equations involving two fractional orders in Banach spaces ⋮ Fractional hybrid differential equations and coupled fixed-point results for \(\alpha \)-admissible \(F\left( \psi_1, \psi_2\right)\)-contractions in \(M\)-metric spaces ⋮ Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative ⋮ Fractional Langevin equations with multi-point and non-local integral boundary conditions ⋮ \(\mathcal{L}\)-simulation functions over \(b\)-metric-like spaces and fractional hybrid differential equations ⋮ On stability analysis of hybrid fractional boundary value problem ⋮ Unnamed Item ⋮ Existence of solutions of fractional hybrid differential equations via measure of noncompactness ⋮ Nonlocal initial value problem for hybrid generalized Hilfer-type fractional implicit differential equations ⋮ On fractional hybrid and non-hybrid multi-term integro-differential inclusions with three-point integral hybrid boundary conditions ⋮ Basic theory of differential equations with mixed perturbations of the second type on time scales ⋮ Initial value problem for hybrid \(\psi\)-Hilfer fractional implicit differential equations ⋮ On a fractional hybrid multi-term integro-differential inclusion with four-point sum and integral boundary conditions ⋮ Unnamed Item ⋮ Boundary value problem for hybrid generalized Hilfer fractional differential equations ⋮ Topological degree theory and Caputo-Hadamard fractional boundary value problems ⋮ On a fractional hybrid version of the Sturm-Liouville equation ⋮ On a hybrid inclusion problem via hybrid boundary value conditions

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