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On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities

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Abstract The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for… Click to show full abstract

Abstract The paper is concerned with the approximate controllability of some Hilfer fractional evolution hemivariational inequalities. Using two classes of operators and their fundamental properties, we derive sufficient conditions for approximate controllability of linear and semilinear controlled systems via a fixed point theorem for multivalued maps. Finally, an example is given to illustrate our theory.

Keywords: evolution hemivariational; approximate controllability; hilfer fractional; fractional evolution; controllability; controllability hilfer

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2019

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