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Method of upper and lower solutions for nonlinear Caputo fractional difference equations and its applications

Fractional Calculus and Applied Analysis, ISSN: 1314-2224, Vol: 22, Issue: 5, Page: 1307-1320
2019
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Article Description

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.

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