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- Title
Investigation on the Approximate Controllability of Fractional Differential Systems with State Delay.
- Authors
Kumar, Ajay; Patel, Rohit; Vijayakumar, Velusamy; Shukla, Anurag
- Abstract
In this article, we presented some sufficient conditions for the approximate controllability of a class of fractional differential systems with fixed delay in Banach space. The existence of a mild solution is discussed with the help of the fixed point theorem. Controllability results are obtained using generalized Gronwall's inequality, Cauchy sequence, and the basics of functional analysis. As a last note, we have included an example for the illustration of the obtained theory.
- Subjects
CAUCHY sequences; GRONWALL inequalities; BANACH spaces; FUNCTIONAL analysis; CARLEMAN theorem
- Publication
Circuits, Systems & Signal Processing, 2023, Vol 42, Issue 8, p4585
- ISSN
0278-081X
- Publication type
Article
- DOI
10.1007/s00034-023-02335-0