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- Title
Fast‐time complete controllability of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter.
- Authors
Zhao, Daliang; Liu, Yansheng; Li, Haitao
- Abstract
In this work, new controllability results for a class of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter have been derived under a new concept that we define as fast‐time complete controllability. Nonlinearity here is only supposed to be continuous rather than Lipschitz continuous by contrast. The major tools we adopt are resolvent operator theory and the theory of nonlinear functional analysis. Theoretical and practical applications are presented to illustrate the effectiveness of the new abstract results.
- Subjects
INTEGRO-differential equations; NONLINEAR functional analysis; RESOLVENTS (Mathematics); NONLINEAR theories; CARLEMAN theorem; OPERATOR theory; EVOLUTION equations; DELAY differential equations
- Publication
Mathematical Methods in the Applied Sciences, 2022, Vol 45, Issue 10, p5649
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.7993