On controllability for fractional differential inclusions in Banach spaces

Wang, JinRong; Li, XueZhu; Wei, Wei

doi:10.7494/opmath.2012.32.2.341

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2023

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Cited by 6 publications

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“…(iii) In general Banach spaces, condition (H6) has been widely used by many authors; see, for instance, the papers [25,32] and the references therein.…”

Section: Remark 18mentioning

confidence: 99%

Controllability of integrodifferential equations with state-dependent Delay

Akouni Guindo,

Fall,

Mané

et al. 2023

Discuss. Math. Differential Inclusions, Control and Optimizatio

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In this paper, the controllability of a class of functional integrodifferential equations with state-dependent delay is investigated. Through the application of the resolvent operator in the sense of Grimmer and Sadovskii's fixed point theorem, sufficient conditions for the controllability of functional integrodifferential equations with state-dependent delay can be established. At long last, an illustration of how the results that were obtained can be put to use is presented here.

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“…(iii) In general Banach spaces, condition (H6) has been widely used by many authors; see, for instance, the papers [25,32] and the references therein.…”

Section: Remark 18mentioning

confidence: 99%

Controllability of integrodifferential equations with state-dependent Delay

Akouni Guindo,

Fall,

Mané

et al. 2023

Discuss. Math. Differential Inclusions, Control and Optimizatio

View full text Add to dashboard Cite

show abstract

“…On the other hand, controllability is one of the fundamental notions of modern control theory, which enables one to steer the control system from an arbitrary initial state to an arbitrary final state, using the set of admissible controls, where the initial and final state may vary over the entire space. The problem of controllability of nonlinear systems represented by fractional differential equations has been extensively studied by several authors (see, for example, [1,9,14]).…”

Section: Introductionmentioning

confidence: 99%