Weak solutions for implicit fractional differential equations with multipoint boundary conditions

Sa"id Abbas; Mouffak Benchohra; Jamal Eddine Lazreg; Seenith Sivasundaram

Sa"id Abbas Tahar Moulay University of Sa\"{\i}da, P.O. Box 138, EN-Nasr, 20000 Sa\"{\i}da, Algeria
Mouffak Benchohra Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb\`es, P.O. Box 89, Sidi Bel-Abb\`es 22000, Algeria
Jamal Eddine Lazreg Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abb\`es, P.O. Box 89, Sidi Bel-Abb\`es 22000, Algeria
Seenith Sivasundaram

Abstract

In this article, we present some results concerning the existence of weak solutions for a class of functional implicit fractional differential equations with multipoint boundary conditions. The main results are proved by applying M\"onch's
fixed point theorem associated with the technique of measure of weak noncompactness.