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- Title
On the optimal controllability for a class of Katugampola fractional systems.
- Authors
Liu, Xianghu; Li, Yanfang
- Abstract
This study is centered on the optimal controllability of differential equations involving fractional derivatives of Katugampola. We derive both necessary and sufficient conditions for optimal controllability by extending Gronwall's inequality with singular kernels. Furthermore, we establish conditions ensuring the existence and uniqueness of mild solutions using the Banach fixed-point theorem and the generalized Laplace transform. To underscore the practical relevance of our findings, we provide an illustrative example.
- Subjects
CONTROLLABILITY in systems engineering; GRONWALL inequalities; FRACTIONAL differential equations
- Publication
Journal of Inequalities & Applications, 2024, Vol 2024, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-024-03153-x