Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions

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2022_rracefns_bourguiba_existence.pdf (350.31 KB)
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URI: http://hdl.handle.net/10347/29967
ISSN: 1578-7303
E-ISSN: 1579-1505
DOI: 10.1007/s13398-022-01321-6

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2022

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In this paper, we introduce a two-point nonlinear boundary value problem for a finite fractional difference equation. An associated Green’s function is constructed as a series of functions and some of its properties are obtained. Some existence results are deduced from fixed point theory and lower and upper solutions

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Fractional equations| Green’s functions| Nonlinear boundary value problems

Bibliographic citation

Bourguiba, R., Cabada, A. & Kalthoum, W.O. Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 175 (2022). https://doi.org/10.1007/s13398-022-01321-6

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Alberto Cabada is partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, grant PID2020-113275GB-I00. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature

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©2022 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/
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Estatística, Análise Matemática e Optimización