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- Title
ON THE APPROXIMATE CONTROLLABILITY FOR FRACTIONAL NEUTRAL INCLUSION SYSTEMS WITH NONLOCAL CONDITIONS.
- Authors
ELGHANDOURI, MOHAMMED; EZZINBI, KHALIL
- Abstract
The aim of this work is to study the approximate controllability for some fractional neutral inclusion system with nonlocal conditions. We establish a new variation of constant formula that helps us to formulate the problem of the approximate controllability. We assume that the linear system without the input functions is approximately controllable, then we prove with the lack of compactness, the approximate controllability for the whole nonlinear system. For illustrative purposes, we provide an application to the heat equation with memory.
- Subjects
FRACTIONS; MATHEMATICAL formulas; NONLINEAR systems; HEAT equation; DIFFERENTIAL equations
- Publication
Fractional Differential Calculus, 2023, Vol 13, Issue 1, p43
- ISSN
1847-9677
- Publication type
Article
- DOI
10.7153/fdc-2023-13-03