We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions.
- Authors
Cao, Nan; Fu, Xianlong
- Abstract
This paper is concerned with the approximate controllability of a class of semi-linear neutral integro-differential equation with nonlocal condition. The basic tools of this study are the theory of resolvent operators of linear neutral integro-differential equation and fractional powers. The fundamental solution of linear neutral integro-differential equations is also constructed to deal with the non-uniform boundedness of the extra linear term. Sufficient conditions of approximate controllability are then obtained through the resolvent condition. Finally, an example is provided to illustrate the applications of the obtained results.
- Subjects
GENETIC drift; FRACTIONAL powers; LINEAR operators; DIFFERENTIAL evolution; RESOLVENTS (Mathematics); INTEGRO-differential equations; OPERATOR theory
- Publication
Fractional Calculus & Applied Analysis, 2023, Vol 26, Issue 5, p2237
- ISSN
1311-0454
- Publication type
Article
- DOI
10.1007/s13540-023-00185-w