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Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions

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Abstract

In this article, we consider a nonlinear higher-order m-point fractional boundary-value problem with integral boundary conditions. We establish criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point fractional boundary-value problems with integral boundary conditions by using the four functionals fixed point theorem, the Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.

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Authors and Affiliations

  1. Department of Mathematics, Pamukkale University, Denizli, 20070, Turkey

    Günendi Mustafa & Yaslan İsmail

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  1. Günendi Mustafa
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  2. Yaslan İsmail
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Correspondence to Günendi Mustafa.

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Mustafa, G., İsmail, Y. Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions. FCAA 19, 989–1009 (2016). https://doi.org/10.1515/fca-2016-0054

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  • DOI: https://doi.org/10.1515/fca-2016-0054

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