Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces

DOI10.1016/j.chaos.2017.03.023zbMath1374.93048OpenAlexW2598194076MaRDI QIDQ1677761

Valery Antonov, Amar Debbouche

Publication date: 13 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.03.023

zbMATH Keywords

fixed pointapproximate controllabilitymultivalued mapssemigroup theoryHilfer fractional differential inclusionsimpulsive control inclusion conditions

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Ordinary differential inclusions (34A60)

Related Items (37)

Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation ⋮ Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay ⋮ Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping ⋮ Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps ⋮ Existence and approximate controllability of Hilfer fractional evolution equations with almost sectorial operators ⋮ Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion ⋮ A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay ⋮ A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems ⋮ Neutral delay Hilfer fractional integrodifferential equations with fractional Brownian motion ⋮ Extremal mild solutions of fractional evolution equation with mixed monotone impulsive conditions ⋮ Topological Properties of Solution Sets for Hilfer Fractional Nonlocal Delay Control Systems and Applications ⋮ Generalized fractional controller for singular systems of differential equations ⋮ Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2) ⋮ New results concerning to approximate controllability of Hilfer fractional neutral stochastic delay integro‐differential systems ⋮ Results on controllability of nonlinear Hilfer fractional stochastic system ⋮ Approximate controllability of non-instantaneous impulsive stochastic integrodifferential equations driven by Rosenblatt process via resolvent operators ⋮ Non‐uniqueness of solution for non‐instantaneous impulsive Hilfer–Hadamard fractional‐order system ⋮ Results on the approximate controllability of Hilfer type fractional semilinear control systems ⋮ Existence and controllability of higher‐order nonlinear fractional integrodifferential systems via fractional resolvent ⋮ Approximation techniques of optimal control problems for fractional dynamic systems in separable Hilbert spaces ⋮ Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain ⋮ Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps ⋮ Time optimal control of a Clarke subdifferential type stochastic evolution inclusion in Hilbert spaces ⋮ Exact controllability of multi-term time-fractional differential system with sequencing techniques ⋮ Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential ⋮ Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions ⋮ Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process ⋮ Stability and controllability results of evolution system with impulsive condition on time scales ⋮ Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces ⋮ The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative ⋮ Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions ⋮ Approximation theorems for controllability problem governed by fractional differential equation ⋮ Hilfer fractional stochastic integro-differential equations ⋮ Extremal mild solutions of Hilfer fractional impulsive systems ⋮ A discussion concerning to partial-approximate controllability of Hilfer fractional system with nonlocal conditions via approximating method ⋮ Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space ⋮ On an impulsive hybrid system of conformable fractional differential equations with boundary conditions

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