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Existence and multiplicity for a system of fractional higher-order two-point boundary value problem

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Abstract

The purpose of this paper is to establish some results on the existence of multiple positive solutions for a system of nonlinear fractional order two-point boundary value problem. The main tool is a fixed point theorem of the cone expansion and compression of functional type and five functional fixed point theorem. Some examples are also presented to illustrate the availability of the main results.

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Acknowledgments

The author expresses his gratitude to his guide Prof. K. Rajendra Prsasd, the editor and amonymous referees for their constructive comments and suggestions which led to improvement of the original manuscript.

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  1. Department of Mathematics, Jazan University, Jazan, Kingdom of Saudi Arabia

    Sabbavarapu Nageswara Rao

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  1. Sabbavarapu Nageswara Rao
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Correspondence to Sabbavarapu Nageswara Rao.

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Rao, S.N. Existence and multiplicity for a system of fractional higher-order two-point boundary value problem. J. Appl. Math. Comput. 51, 93–107 (2016). https://doi.org/10.1007/s12190-015-0893-7

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  • DOI: https://doi.org/10.1007/s12190-015-0893-7

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