Title of article
Bounded weak solutions for implicit Hadamard fractional differential equations on reflexive Banach spaces
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
Pages
13
From page
3
To page
15
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
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2021
Full Text URL
Record number
2612100
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