Optimal controls of systems governed by semilinear fractional differential equations with not instantaneous impulses

DOI10.1007/s10957-017-1122-3zbMath1377.49037OpenAlexW2735945455MaRDI QIDQ1673894

Shengda Liu, JinRong Wang

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-017-1122-3

zbMATH Keywords

fractional differential equationsoptimal controlsnot instantaneous impulses

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving partial differential equations (49J20) Nonlinear evolution equations (47J35) Impulsive optimal control problems (49N25) Impulsive partial differential equations (35R12)

Related Items (22)

Solvability and optimal controls of non-instantaneous impulsive stochastic neutral integro-differential equation driven by fractional Brownian motion ⋮ Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses ⋮ Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2) ⋮ Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses ⋮ Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses ⋮ Existence and stability results of stochastic differential equations with non-instantaneous impulse and Poisson jumps ⋮ Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r∈(1,2) ⋮ Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process ⋮ Existence and optimal controls of non-autonomous for impulsive evolution equation without Lipschitz assumption ⋮ Abstract impulsive differential equations without predefined time impulses ⋮ Time optimal control of system governed by a fractional stochastic partial differential inclusion with Clarke subdifferential ⋮ Time optimal control of a Clarke subdifferential type stochastic evolution inclusion in Hilbert spaces ⋮ Optimal control of noninstantaneous impulsive differential equations ⋮ Approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion ⋮ Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls ⋮ Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps ⋮ Existence and optimal controls for fractional stochastic evolution equations of Sobolev type via fractional resolvent operators ⋮ Time optimal control of a system governed by non-instantaneous impulsive differential equations ⋮ Non-autonomous evolution equations of parabolic type with non-instantaneous impulses ⋮ Non-autonomous parabolic evolution equations with non-instantaneous impulses governed by noncompact evolution families ⋮ Existence and optimal controls for Hilfer fractional Sobolev-type stochastic evolution equations ⋮ Solvability and optimal control of fractional differential hemivariational inequalities

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