On the Application of Measure of Noncompactness to the Existence of Solutions for Fractional Differential Equations
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机构:
Ravi P. Agarwal
Mouffak Benchohra
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机构:Florida Institute of Technology,Department of Mathematical Sciences
Mouffak Benchohra
Djamila Seba
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机构:Florida Institute of Technology,Department of Mathematical Sciences
Djamila Seba
机构:
[1] Florida Institute of Technology,Department of Mathematical Sciences
[2] Université de Sidi Bel-Abbès,Laboratoire de Mathématiques
[3] Université de Boumerdes,Département de Mathématiques
来源:
Results in Mathematics
|
2009年
/
55卷
关键词:
26A33;
34B15;
Boundary value problem;
Caputo fractional derivative;
measure of noncompactness;
fixed-point;
Banach space;
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摘要:
In this paper, we prove the existence of solutions for a boundary value problem of fractional differential equations. The technique relies on the concept of measures of noncompactness and Mönch’s fixed point theorem.