Caputo-Hadamard Fractional Differential Equations in Banach Spaces

被引:0
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作者
Saïd Abbas
Mouffak Benchohra
Naima Hamidi
Johnny Henderson
机构
[1] Control and Applications Tahar Moulay University of Saïda,Laboratory of Mathematics, Geometry, Analysis
[2] Liabes University of Sidi Bel-Abbes,Laboratory of Mathematics Djillali
[3] Baylor University Waco,Department of Mathematics
关键词
Primary 26A33; Secondary 34A08; 34G20; fractional differential equation; partial differential equation; mixed Hadamard integral of fractional order; Caputo–Hadamard fractional derivative; existence; uniqueness; measure of noncompactness; fixed point;
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摘要
This article deals with some existence results for a class of Caputo–Hadamard fractional differential equations. The results are based on the Mönch’s fixed point theorem associated with the technique of measure of noncompactness. Two illustrative examples are presented.
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页码:1027 / 1045
页数:18
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