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Positive solutions for fractional boundary value problems with integral boundary conditions and parameter dependence

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Abstract

We study the existence of positive solutions for a Riemann fractional boundary value problem with integral boundary conditions and parameter dependence. To state our results, we use Guo–Krasnoselskii fixed point theorem. Some examples are shown to point out the applicability of the obtained results.

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Acknowledgements

Hafida Abbas and Mohammed Belmekki partially supported by PRFU (Algeria) project C00L03EP130220190001. Alberto Cabada partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, Grant MTM2016-75140-P. We thank to the referees for their interesting comments. They have been very useful to improve the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, University of Saïda, BP 138, 20000, Saïda, Algeria

    Hafida Abbas

  2. High School of Applied Sciences, BP 165, RP Bel horizon, 13000, Tlemcen, Algeria

    Mohammed Belmekki

  3. Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Alberto Cabada

Authors
  1. Hafida Abbas
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  2. Mohammed Belmekki
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  3. Alberto Cabada
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Correspondence to Alberto Cabada.

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Communicated by Agnieszka Malinowska.

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Abbas, H., Belmekki, M. & Cabada, A. Positive solutions for fractional boundary value problems with integral boundary conditions and parameter dependence. Comp. Appl. Math. 40, 158 (2021). https://doi.org/10.1007/s40314-021-01546-y

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  • DOI: https://doi.org/10.1007/s40314-021-01546-y

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