- Journal of Universal Mathematics
- Vol: 1 Issue: 2
- EXISTENCE OF MILD SOLUTIONS FOR AN IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NON-LOCA...
EXISTENCE OF MILD SOLUTIONS FOR AN IMPULSIVE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NON-LOCAL CONDITION
Authors : Khalid Hilal, Lahcen Ibnelazyz, Karim Guida, Said Melliani
Pages : 130-147
View : 17 | Download : 8
Publication Date : 2018-07-31
Article Type : Research
Abstract :In this paper we are interested in studying the existence of solutions for a controlled impulsive fractional evolution equations. We use several tools such as fractional calculus, xed point theorems and the theory of semi-group. We rst give some preliminaries and notations, the second part of the work we provide an existence result for our problem and in the nal section, we give some examples to show the importance of our results.Keywords : Mild solution, fractional differential equation