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

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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 showed to point out the applicability of the obtained results.

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This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40314-021-01546-y

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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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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.

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Attribution-NonCommercial-NoDerivatives 4.0 International