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Positive solutions of boundary value problems for fractional order differential equations by monotonic iteration method

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Abstract

In this article, we discuss a class of boundary value problems for nonlinear singular fractional order differential equations. By applying monotone iterative techniques, we not only obtain the existence of positive solutions but also establish an iterative scheme for approximating the solutions. An example is also included to illustrate the main result.

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Authors and Affiliations

  1. Department of Mathematics, Guangdong University of Finance and Economics, Guangzhou, 510000, People’s Republic of China

    Yuji Liu

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  1. Yuji Liu
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Correspondence to Yuji Liu.

Additional information

Supported by the Natural Science Foundation of Guangdong province (No: S2011010001900) and the Foundation for High-level talents in Guangdong Higher Education Project.

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Liu, Y. Positive solutions of boundary value problems for fractional order differential equations by monotonic iteration method. Rend. Circ. Mat. Palermo, II. Ser 66, 457–469 (2017). https://doi.org/10.1007/s12215-016-0277-3

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