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Positive solutions of a system of non-autonomous fractional differential equations. (English) Zbl 1064.34004

The paper is about systems of nonautonomous, nonlinear fractional differential equations and the existence of positive solutions. The aim of the paper is to give theorems that provide sufficient conditions for the existence of positive solutions. The basic idea and methodology adopted in the paper is to impose bounds on the (positive) derivatives and to deduce the existence of positive solutions. The analytical tools employed include the Banach and Schauder fixed point theorems.

MSC:

34A34 Nonlinear ordinary differential equations and systems
26A33 Fractional derivatives and integrals
34C99 Qualitative theory for ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
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