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Yang, Liu; Shen, Chunfang; Xie, Dapeng

Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann-Liouville derivative. (English) Zbl 1353.34011

Adv. Difference Equ. 2014, Paper No. 284, 12 p. (2014).
Summary: By means of the Avery-Peterson fixed point theorem, we establish the existence of a multiple positive solution of the boundary value problem for a nonlinear differential equation with Riemann-Liouville fractional order derivative. An example illustrating our main result is given. Our results complement previous work in the area of boundary value problems of nonlinear fractional differential equations [C. S. Goodrich, Appl. Math. Lett. 23, No. 9, 1050–1055 (2010; Zbl 1204.34007)].

Cited in 11 Documents

MSC:

34A08 Fractional ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations

Keywords:

fractional differential equation; positive solution; fixed point; cone

Citations:

Zbl 1204.34007
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Full Text: DOI
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References:

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