We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition.
- Authors
Liu, Yongyang; Liu, Yansheng
- Abstract
This paper is concerned with the existence of mild solutions and exact controllability for a class of fractional measure evolution systems with state-dependent delay and nonlocal conditions. We first establish an existence result of mild solutions for the concerned problem by applying an integral equation which is given in terms of probability density and semigroup theory. Then, the exact controllability are obtained by using the fractional calculus theory, Kuratowski measure of noncompactness and Mönch fixed point theorem, without imposing the Lipschitz continuity on nonlinear term. Finally, we give two applications to support the validity of the study.
- Subjects
EVOLUTION equations; LIPSCHITZ continuity; INTEGRAL equations; NONLINEAR evolution equations; FRACTIONAL calculus
- Publication
Evolution Equations & Control Theory, 2023, Vol 12, Issue 2, p1
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2022040