Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion

DOI10.1186/S13661-020-01418-0zbMath1485.93055OpenAlexW3039098371MaRDI QIDQ2126648

Mahmoud M. El-Borai, A. S. Okb El Bab, Hamdy M. Ahmed, M. Elsaid Ramadan

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01418-0

zbMATH Keywords

fractional Brownian motionapproximate controllabilitynonlocal conditionsSadovskii fixed point theoremnoninstantaneous impulsiveHilfer fractional neutral stochastic differential equations

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Controllability (93B05) Integro-ordinary differential equations (45J05) Nonlinear systems in control theory (93C10) Fractional derivatives and integrals (26A33) Neutral functional-differential equations (34K40) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (11)

AN EFFICIENT APPROACH FOR SOLVING FRACTIONAL VARIABLE ORDER REACTION SUB-DIFFUSION BASED ON HERMITE FORMULA ⋮ Sobolev-type nonlocal conformable stochastic differential equations ⋮ Marangoni convection in layers of water-based nanofluids under the effect of rotation ⋮ Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps ⋮ Controllability of semilinear neutral stochastic integrodifferential evolution systems with fractional Brownian motion ⋮ Approximate controllability of non-autonomous second order impulsive functional evolution equations in Banach spaces ⋮ Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump ⋮ Approximate controllability for Hilfer fractional stochastic non-instantaneous impulsive differential system with Rosenblatt process and Poisson jumps ⋮ Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm ⋮ Extremal mild solutions of Hilfer fractional impulsive systems ⋮ Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space

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