Existence of Concave Positive Solutions for Nonlinear Fractional Differential Equation with p-Laplacian Operator

被引:0
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作者
Farid Chabane
Saïd Abbas
Maamar Benbachir
Mouffak Benchohra
Gaston N’Guérékata
机构
[1] Université de Ghardaia,Laboratoire de Mathématiques et Sciences appliquées
[2] University of Saïda–Dr. Moulay Tahar,Department of Mathematics
[3] Saad Dahlab University,Faculty of Sciences
[4] Djillali Liabes University of Sidi Bel-Abbès,Laboratory of Mathematics
[5] Morgan State University,NEERLab, Department of Mathematics
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关键词
Fractional differential equations; Caputo derivative; Boundary value problem; Leggett–Williams fixed point theorem; Positive solutions; 34A08; 34B15;
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摘要
In this article, we investigate the existence and multiplicity of concave positive solutions for a boundary value problem for two-sided fractional differential equations involving the Caputo derivative. By means of the Leggett–Williams fixed point theorem, we obtain the existence of at least three solutions. Some illustrative examples are given in the last section.
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页码:505 / 543
页数:38
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