On fractional differential perturbed equations with state-dependent delay in Fr´echet spaces

  • Mohamed Helal Mustapha Stambouli University of Mascara\\ B.P. 763, 29000, Mascara, Algeria\\, Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb\`es,\\ B.P. 89, 22000, Sidi Bel-Abb\`es, Algeria\\


This paper deals with the existence of solutions of some classes of perturbed partial functional hyperbolic
differential equations with state-dependent delay involving the Caputo fractional derivative by using a nonlinear
alternative of Avramescu in Fr\'echet spaces.