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Zbl 1191.34006
Kosmatov, Nickolai
A singular boundary value problem for nonlinear differential equations of fractional order. (English)
[J] J. Appl. Math. Comput. 29, No. 1-2, 125-135 (2009). ISSN 1598-5865; ISSN 1865-2085/e

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.
[Neville Ford (Chester)]

MSC 2000:: *34A08
34B15 Nonlinear boundary value problems of ODE
34B16 Singular nonlinear boundary value problems
47N20 Appl. of operator theory to differential and integral equations

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

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