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Existence and uniqueness of positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions

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Abstract

In this paper, we present a result about the existence and uniqueness of positive solutions for a class of singular fractional differential equations with infinite-point boundary value conditions. The main tool used in the proof of the results is a fixed point theorem.

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Acknowledgements

Second and third authors were partially supported by project MTM 2016–79436–P. The authors are grateful to the anonymous referees for their useful comments and suggestions, which have improved the quality of the paper.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017, Las Palmas de Gran Canaria, Spain

    J. Caballero, J. Harjani & K. Sadarangani

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  1. J. Caballero
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  2. J. Harjani
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  3. K. Sadarangani
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Correspondence to J. Harjani.

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Caballero, J., Harjani, J. & Sadarangani, K. Existence and uniqueness of positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions. RACSAM 115, 48 (2021). https://doi.org/10.1007/s13398-020-00994-1

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  • DOI: https://doi.org/10.1007/s13398-020-00994-1

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