Optimal control and approximate controllability for fractional integrodifferential evolution equations with infinite delay of order r∈(1,2)

DOI10.1002/oca.2867OpenAlexW4210611555MaRDI QIDQ6078623

Unnamed Author, V. Vijayakumar, Unnamed Author, Anurag Shukla, Kottakkaran Sooppy Nisar, K. Kaliraj

Publication date: 25 October 2023

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.2867

zbMATH Keywords

approximate controllabilitymild solutionsfixed point theoremintegrodifferential equationscosine familiesoptimal controlsfractional derivativeMainardi's Wright-type function

Mathematics Subject Classification ID

Controllability (93B05) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (12)

Optimal control for Hilfer fractional neutral integrodifferential evolution equations with infinite delay ⋮ Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay ⋮ Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\) ⋮ Investigating existence results for fractional evolution inclusions with order \(r \in (1, 2)\) in Banach space ⋮ Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators ⋮ An analysis on the optimal control results for second-order Sobolev-type delay differential inclusions of Clarke's subdifferential type ⋮ Analytic resolvent semilinear integro‐differential systems: Existence and optimal control ⋮ EXTENSION OF HAAR WAVELET TECHNIQUES FOR MITTAG-LEFFLER TYPE FRACTIONAL FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS ⋮ STRUCTURE PRESERVING SPLITTING TECHNIQUES FOR EBOLA REACTION–DIFFUSION EPIDEMIC SYSTEM ⋮ New discussion on the existence and controllability of fractional evolution inclusion of order 1 < r < 2 without compactness ⋮ Results on the approximate controllability of Hilfer type fractional semilinear control systems ⋮ A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2\) with impulses]

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