A singular boundary value problem for nonlinear differential equations of fractional order. (English) Zbl 1191.34006

Kosmatov, Nickolai

J. Appl. Math. Comput. 29, No. 1-2, 125-135 (2009).

The paper studies a Dirichlet boundary value problem for equations of fractional order based on the Riemann Liouville fractional derivative. The authors obtain existence results by using the Leray-Schauder continuation principle and use Hölder’s inequality to obtain a priori estimates. The authors also indicate how their methods in this paper may improve the results of other recent papers.

Reviewer: Neville Ford (Chester)

MSC:

34A08	Fractional ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations
34B16	Singular nonlinear boundary value problems for ordinary differential equations
47N20	Applications of operator theory to differential and integral equations

Keywords:

Riemann Liouville fractional derivative; boundary value problem; Leray-Schauder principle

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