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Existence results for a fractional boundary value problem with fractional Lidstone conditions

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Abstract

Our aim in this work is to study the existence of solutions for a fractional Lidstone boundary value problems. We use some fixed point theorems to show the existence and uniqueness of solution under suitable conditions. Two examples are given to ilustrate the obtained results.

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Acknowledgments

The authors would like to thank the anonymous referee for his/her valuable remarks.

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Authors and Affiliations

  1. Laboratory of Advanced Materials, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000, Annaba, Algeria

    A. Guezane-Lakoud & R. Khaldi

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  1. A. Guezane-Lakoud
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  2. R. Khaldi
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Correspondence to A. Guezane-Lakoud.

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Guezane-Lakoud, A., Khaldi, R. Existence results for a fractional boundary value problem with fractional Lidstone conditions. J. Appl. Math. Comput. 49, 261–268 (2015). https://doi.org/10.1007/s12190-014-0837-7

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  • DOI: https://doi.org/10.1007/s12190-014-0837-7

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