Fractional ${q}$-difference equations on the half line

Abbas, Saïd   ; Benchohra, Mouffak   ; Laledj, Nadjet   ; Zhou, Yong

Archivum mathematicum, Tome 56 (2020) no. 4, pp. 207-223

Abstract (VO)

This article deals with some results about the existence of solutions and bounded solutions and the attractivity for a class of fractional ${q}$-difference equations. Some applications are made of Schauder fixed point theorem in Banach spaces and Darbo fixed point theorem in Fréchet spaces. We use some technics associated with the concept of measure of noncompactness and the diagonalization process. Some illustrative examples are given in the last section.

Détail

DOI : 10.5817/AM2020-4-207

Classification : 26A33
Keywords: fractional $q$-difference equation; attractivity; diagonalization; bounded solution; Banach space; Fréchet space; fixed point

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