Journal
AIMS MATHEMATICS
Volume 7, Issue 6, Pages 10079-10095Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2022561
Keywords
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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