Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications
In this paper, we extend the applications of the method of upper and lower solutions for a class of nonlinear nabla fractional difference equations involving Caputo derivative. We obtain the existence of coupled minimal and maximal solutions which constructed by two monotone sequences. In order to illustrate our main results, we present two numerical examples in the end.
C. Chen et al., "Method of Upper and Lower Solutions for Nonlinear Caputo Fractional Difference Equations and its Applications," Fractional Calculus and Applied Analysis, vol. 22, no. 5, pp. 1307-1320, De Gruyter, Oct 2019.
The definitive version is available at https://doi.org/10.1515/fca-2019-0069
Mathematics and Statistics
Keywords and Phrases
Caputo derivative; method of upper and lower solutions; nabla difference equation
International Standard Serial Number (ISSN)
Article - Journal
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01 Oct 2019