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      Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions

      , , ,
      Mathematics
      MDPI AG

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          Abstract

          In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch’s fixed point theorem. We also present an example, in order to elucidate one of the results discussed.

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          Most cited references29

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          Applications of Fractional Calculus in Physics

          R. Hilfer (2000)
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            Basic theory of fractional differential equations

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              On the concept of solution for fractional differential equations with uncertainty

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                Author and article information

                Contributors
                (View ORCID Profile)
                Journal
                Mathematics
                Mathematics
                MDPI AG
                2227-7390
                March 2023
                February 21 2023
                : 11
                : 5
                : 1071
                Article
                10.3390/math11051071
                d7341419-5b12-43ec-9130-7ad4091e300f
                © 2023

                https://creativecommons.org/licenses/by/4.0/

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