4.6 Article

New approach on controllability of Hilfer fractional derivatives with nondense domain

期刊

AIMS MATHEMATICS
卷 7, 期 6, 页码 10079-10095

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022561

关键词

controllability; Hilfer derivative; nondense domain; fixed point; Banach space; fractional calculus

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This study discusses the controllability of the nondense Hilfer neutral fractional derivative (HNFD) using Winch theorem and Banach contraction technique, and presents a numerical approximation method to handle different criteria of the results.
This work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Winch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.

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