System of fractional boundary value problem with p-Laplacian and advanced arguments

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2021_advdifferequ_mahdjouba_system.pdf (1.57 MB)
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URI: http://hdl.handle.net/10347/26778
ISSN: 1687-1839
E-ISSN: 1687-1847
DOI: 10.1186/s13662-021-03508-4

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2021

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Springer
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Abstract

In this paper, we discuss the existence and multiplicity of positive solutions for a system of fractional differential equations with boundary condition and advanced arguments. The existence result is proved via Leray–Schauder’s fixed point theorem type in a vector Banach space. Further, by using a new fixed point theorem in order Banach space, we study the multiplicity of positive solutions. Finally, some examples are given to illustrate our results

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Fractional differential equations| p-Laplacian operator| Cone| Fixed point theorem| Positive solutions| Multiplicity of solutions

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Adv Differ Equ 2021, 352. https://doi.org/10.1186/s13662-021-03508-4

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The research of J.J. Nieto has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant MTM2016-75140-P, co-financed by the European Community fund FEDER, and by Xunta de Galicia under grant ED431C 2019/02

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© The Author(s) 2021. 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