Existence of positive solutions of nonlinear fractional differential equations. (English) Zbl 1027.34003

Babakhani, A.; Daftardar-Gejji, Varsha

J. Math. Anal. Appl. 278, No. 2, 434-442 (2003).

The authors consider fractional differential equations based on fractional differential operators of Riemann-Liouville type. The equations considered contain a linear multiterm fractional differential operator. The authors give sufficient conditions for the equation to have positive solutions in four theorems (relating to slightly different conditions in each case). In the last part of the paper, they consider also the question of whether the equations have a unique positive solution.

Reviewer: Neville Ford (Chester)

MSC:

34A25	Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
26A33	Fractional derivatives and integrals
34K12	Growth, boundedness, comparison of solutions to functional-differential equations

Keywords:

fractional differential equations; positive solutions

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