Open AccessFixed points and asymptotic stability of nonlinear fractional difference equations
Author(s) -
Fulai Chen
Publication year - 2011
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2011.1.39
Subject(s) - mathematics , nonlinear system , stability (learning theory) , mathematical analysis , fixed point , physics , quantum mechanics , machine learning , computer science
In this paper, we discuss nonlinear fractional difference equations with the Caputo like difference operator. Some asymptotic stability results of equations under investigated are obtained by employing Schauder fixed point theorem and discrete Arzela-Ascoli’s theorem. Three examples are also provided to illustrate our main results.
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