A note on the existence and controllability results for fractional integrodifferential inclusions of order \(r\in(1, 2]\) with impulses

DOI10.1007/s12346-022-00681-zOpenAlexW4306689999MaRDI QIDQ2099678

M. Mohan Raja, V. Vijayakumar, Anurag Shukla, Juan. J. Nieto, Kottakkaran Sooppy Nisar

Publication date: 24 November 2022

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-022-00681-z

zbMATH Keywords

approximate controllabilitymild solutionsfixed point theoremimpulsive systemfractional differential inclusionssequence method\(r\)-order cosine family

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Operator sine and cosine functions and higher-order Cauchy problems (47D09) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Related Items (3)

Controllability results for second-order integro-differential equations with state-dependent delay ⋮ An analysis concerning to the existence of mild solution for Hilfer fractional neutral evolution system on infinite interval ⋮ Approximate controllability of third order dispersion systems

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