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- Title
Reachability of time-varying fractional dynamical systems with Riemann-Liouville fractional derivative.
- Authors
Vishnukumar, K. S.; Vellappandi, M.; Govindaraj, V.
- Abstract
This study examines the reachability of a time-varying fractional dynamical system with Riemann-Liouville fractional derivative. The state transition matrix is used to solve the time-varying systems. Using the reachability Grammian matrix, the reachability linear time-varying fractional dynamical system is discussed. The existence and uniqueness of a solution of a nonlinear time-varying fractional dynamical system is established, and sufficient conditions for the reachability of nonlinear time-varying fractional dynamical systems are obtained with the help of Banach fixed point theorem. The reachability results are proved for a time-varying integro-fractional dynamical system for a particular case. A successive approximation method is proposed to give numerical solutions to the reachability problems.
- Subjects
DYNAMICAL systems; TIME-varying systems; NONLINEAR dynamical systems
- Publication
Fractional Calculus & Applied Analysis, 2024, Vol 27, Issue 3, p1328
- ISSN
1311-0454
- Publication type
Article
- DOI
10.1007/s13540-024-00245-9