Research Communication | Open Access
Volume 2020 | Communication ID 101 |

On the Existence of Extremal Weak Periodic Solutions For a Class of Nonlinear Fractional Parabolic Differential Equations

Abdelouahed Alla Hamou, Elhoussine Azroul, Abdelilah Lamrani Alaoui
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
18 January 2020
02 February 2020
10 March 2020

Abstract: In this paper we consider a fractional parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions by using a more generalized monotone iterative method coupled with the merhod of upper and lower solution. Moreover, the convergence of this method is discussed.