Controllability of Hilfer Fractional Differential Systems with Non-Dense Domain. (3rd October 2019)

• Record Type: Journal Article
• Authors: Singh, Vikram
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 13(2019)
• Page Start: 1572
• Page End: 1592
• Publication Date: 2019-10-03
• Subjects: Differential systems involving Hilfer fractional derivative -- exact controllability -- integral solution -- non-dense domain; 26A33 -- 34A08 -- 34A12 -- 34G20 -- 93B05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1615947
• Languages: English
• ISSNs: 0163-0563

Abstract

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.