Geodesic
Fractional ${q}$-difference equations on the half line
Archivum mathematicum, Tome 56 (2020) no. 4, pp. 207-223.

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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.
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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Abbas, Saïd; Benchohra, Mouffak; Laledj, Nadjet; Zhou, Yong. Fractional ${q}$-difference equations on the half line. Archivum mathematicum, Tome 56 (2020) no. 4, pp. 207-223. doi : 10.5817/AM2020-4-207. http://geodesic.mathdoc.fr/articles/10.5817/AM2020-4-207/

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