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Zbl 1027.34003
Babakhani, A.; Daftardar-Gejji, Varsha
Existence of positive solutions of nonlinear fractional differential equations. (English)
[J] J. Math. Anal. Appl. 278, No.2, 434-442 (2003). ISSN 0022-247X

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.
[Neville Ford (Chester)]

MSC 2000:: *34A25 Analytical theory of ODE
26A33 Fractional derivatives and integrals (real functions)
34K12 Properties of solutions of functional-differential equations

Keywords: fractional differential equations; positive solutions

Cited in: Zbl 1144.34307 Zbl 1116.26003

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