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초록
The aim of the study is to discuss the controllability results of Hilfer neutral non-instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total controllability results were discussed by employing set-contraction theory and Kuratowski measure of non-compactness. Also we derived the results on optimal control using appropriate conditions. An illustration is given to validate the outcomes.
키워드
Hilfer Derivative; Total Controllability; Kuratowski Measure; Non-instantaneous Impulses; Banach Space; Fractional Calculus; DIFFERENTIAL-EQUATIONS; SYSTEMS; DELAY; EXISTENCE
- 제목
- CASE STUDY ON TOTAL CONTROLLABILITY AND OPTIMAL CONTROL OF HILFER NEUTRAL NON-INSTANTANEOUS FRACTIONAL DERIVATIVE
- 저자
- Nisar, Kottakkaran Sooppy; Ravichandran, C.; Abdel-Aty, Abdel-Haleem; Yahia, Ibrahim S.; Park, Choon kil
- 발행일
- 2022-08
- 유형
- Article
- 저널명
- Fractals
- 권
- 30
- 호
- 5
- 페이지
- 1 ~ 17