In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is taken in sense of Riemann-Liouville fractional operators. Applications are illustrated.
@article{1336, title = {Existence of deviating fractional differential equation}, journal = {CUBO, A Mathematical Journal}, volume = {14}, year = {2012}, language = {en}, url = {http://dml.mathdoc.fr/item/1336} }
Ibrahim, Rabha W. Existence of deviating fractional differential equation. CUBO, A Mathematical Journal, Tome 14 (2012) . http://gdmltest.u-ga.fr/item/1336/