A Filippov's theorem, some existence results and the compactness of solution sets of impulsive fractional order differential inclusions

DOI10.1007/s00009-011-0141-9zbMath1263.34010OpenAlexW2032623545MaRDI QIDQ1758627

Johnny Henderson, Abdelghani Ouahab

Publication date: 15 November 2012

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0141-9

zbMATH Keywords

fractional derivativefractional integralimpulsive differential inclusionsfractional differential inclusionsCaputo fractional derivatives

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Ordinary differential inclusions (34A60) Fractional ordinary differential equations (34A08)

Related Items (11)

Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions ⋮ Continuous Approximations of a Class of Piecewise Continuous Systems ⋮ A numerical method to solve higher-order fractional differential equations ⋮ Lyapunov exponents of a class of piecewise continuous systems of fractional order ⋮ Existence of solutions for nonlinear fractional \(q\)-difference inclusions with nonlocal Robin (separated) conditions ⋮ On noncompact fractional order differential inclusions with generalized boundary condition and impulses in a Banach space ⋮ A class of global fractional-order projective dynamical systems involving set-valued perturbations ⋮ Impulsive differential inclusions with fractional order ⋮ Fractional differential equations with nonlocal integral and integer-fractional-order Neumann type boundary conditions ⋮ Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay ⋮ Lipschitz perturbation to evolution inclusion driven by time-dependent maximal monotone operators

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