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Controllability of Impulsive Fractional Differential Equations with Infinite Delay

Khalida Aissani, Mouffak Benchohra

Abstract


According to fractional calculus theory and Krasnoselskii's fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional differential equations with infinite delay. An example is provided to illustrate the theory.

Keywords


Evolution equation; controllability; Caputo fractional derivative; mild solution; fixed point; semigroup; infinite delay.

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v33i2.58