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Controllability of a Class of Impulsive ψ-Caputo Fractional Evolution Equations of Sobolev Type

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In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented by two new characteristic… Click to show full abstract

In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented by two new characteristic solution operators, fractional calculus, and Schauder fixed point theorem. Our works are generalizations and continuations of the recent results about controllability of a class of impulsive ψ-Caputo fractional evolution equations. Finally, an example is given to illustrate the effectiveness of the main results.

Keywords: impulsive caputo; controllability class; class impulsive; evolution equations; caputo fractional; fractional evolution

Journal Title: Axioms
Year Published: 2022

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