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Zbl 1064.34004
Daftardar-Gejji, Varsha
Positive solutions of a system of non-autonomous fractional differential equations. (English)
[J] J. Math. Anal. Appl. 302, No. 1, 56-64 (2005). ISSN 0022-247X

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.
[Neville Ford (Chester)]

MSC 2000:: *34A34 Nonlinear ODE and systems, general
26A33 Fractional derivatives and integrals (real functions)
34C99 Qualitative theory of solutions of ODE
34A25 Analytical theory of ODE

Keywords: fractional differential equations; positive solutions

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