Author/Authors :
Abbas, Saıd Department of Mathematics - University of Saıda, Saıda, Algeria , Benchohra, Mouffak Laboratory of Mathematics - Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes, Algeria , Lazreg, Jamal-Eddine Laboratory of Mathematics - Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes, Algeria , Zhou, Yong Faculty of Mathematics and Computational Science - Xiangtan University, Hunan, China
Abstract :
In this article, we present some results concerning the existence of bounded weak solutions
for some functional implicit differential equations of Hadamard fractional derivative. The main results
are proved by applying Monch’s fixed point theorem associated with the technique of measure of weak ¨
noncompactness and the diagonalization method.
Keywords :
Fractional differential equation , Pettis–Hadamard integral of fractional order , Pettis– Hadamard fractional derivative , implicit , bounded weak solution , fixed point , unbounded domain , diagonalization process
