A study of N–dimentional fractional differential problem with integral conditions.

Debbouche Souheyla; Merad Ahcene

Debbouche Souheyla L'Arbie Ben Mhidi university
Merad Ahcene Laboratory of dynamic systems and control, Department of MI, University of Oum El Bouaghi, N10, Oum El Bouaghi 04000, Algeria,

Abstract

In this paper, we consider the linear value problem of fractional differential equation with integral conditions in N–dimentional space. By applying the estimate a priorie method we will prove that the linear problem accepts a single strong solution. the proof by induction plays an important role n this article.