4.2 Article

Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain

Journal

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume 40, Issue 13, Pages 1572-1592

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/01630563.2019.1615947

Keywords

Differential systems involving Hilfer fractional derivative; exact controllability; integral solution; non-dense domain

Funding

  1. Ministry of Human Resource and Development, India [MHR-02-23-200-304]

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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.

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