Global uniqueness results for Hadamard fractional integral equations

Mohamed Helal; Yacer Abdelillah Kenane; Ahmed El Amine Rezki

Mohamed Helal University Mustapha Stambouli of Mascara, Algeria
Yacer Abdelillah Kenane Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb\`es,
Ahmed El Amine Rezki Mustapha Stambouli University of Mascara,\\ B.P. 763, 29000, Mascara, Algeria

Abstract

In this paper we investigate the existence and uniqueness of solutions of partial Integral Equations via Hadamard's fractional integral, by applying a nonlinear alternative of Leray-Schauder due to Frigon and Granas for contraction maps on Fréchet spaces.