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Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain
Authors:Vikram Singh
Affiliation:Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Abstract:In this paper, some exact controllability results are investigated for an integral solution of a non-densely defined abstract fractional differential system involving Hilfer fractional derivative. We tend to implement semigroup theory, fractional calculus, and measure of noncompactness to obtain the main results by fixed point technique. Finally, an application is given to illustrate the obtained results.
Keywords:Differential systems involving Hilfer fractional derivative  exact controllability  integral solution  non-dense domain
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