Existence of a solution for the fractional differential equation with nonlinear boundary conditions. (English) Zbl 1217.34011

Zhang, Shuqin

Comput. Math. Appl. 61, No. 4, 1202-1208 (2011).

Summary: Using the method of upper and lower solutions and its associated monotone iterative, we present an existence theorem for a nonlinear fractional differential equation with nonlinear boundary conditions.

MSC:

34A08	Fractional ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations
45J05	Integro-ordinary differential equations

Keywords:

coupled upper solutions and lower solutions; coupled quasisolution; monotone iterative method; fractional differential equation; nonlinear boundary conditions

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