Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space

DOI10.3934/eect.2022028OpenAlexW4285163504WikidataQ115219082 ScholiaQ115219082MaRDI QIDQ2106052

Sami Segni, Ichrak Bouacida, Mourad Kerboua

Publication date: 8 December 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2022028

zbMATH Keywords

approximate controllabilitymild solutionfixed point theoremnonlocal conditionHilfer fractional derivativefractional Sobolev type integro-differential equations

Mathematics Subject Classification ID

Controllability (93B05) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Control/observation systems in abstract spaces (93C25) Sobolev (and similar kinds of) spaces of functions of discrete variables (46E39)

Related Items (2)

Null controllability of \(\psi\)-Hilfer implicit fractional integro-differential equations with \(\psi\)-Hilfer fractional nonlocal conditions ⋮ On a mixed nonlinear fractional boundary value problem with a new class of closed integral boundary conditions

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