Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems

Authors:
Amar Debbouche;Dumitru Baleanu
Affiliations:
Department of Mathematics, Faculty of Science, Guelma University, Guelma, Algeria;Department of Mathematics and Computer Science, Faculty of Arts and Science, Cankaya University, Ankara, Turkey and Institute of Space Sciences, P.O. Box, MG-23, R 76900, Magurele-Bucharest, Roman ...
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 5
Cited 1

Controllability of integrodifferential systems in Banach spaces

Applied Mathematics and Computation
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Controllability for Semilinear Retarded Control Systems in Hilbert Spaces

Journal of Dynamical and Control Systems
On the global existence of solutions to a class of fractional differential equations

Computers & Mathematics with Applications
Existence and controllability result for semilinear evolution integrodifferential systems

Mathematical and Computer Modelling: An International Journal

Fractional integro-differential calculus and its control-theoretical applications. II. Fractional dynamic systems: Modeling and hardware implementation

Automation and Remote Control

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this work, the controllability result of a class of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems in a Banach space has been established by using the theory of fractional calculus, fixed point technique and also we introduced a new concept called (@a,u)-resolvent family. As an application that illustrates the abstract results, an example is given.