Integro-Differential Equations of Fractional Order

被引：0
|
作者：
Saïd Abbas
Mouffak Benchohra
John R. Graef
机构：
[1] Université de Saïda,Laboratoire de Mathématiques
[2] Université de Sidi Bel-Abbès,Laboratoire de Mathématiques
[3] University of Tennessee at Chattanooga,Department of Mathematics
来源：
Differential Equations and Dynamical Systems | 2012年 / 20卷 / 2期
关键词：
Integro-differential equation; Left-sided mixed Riemann–Liouville integral of fractional order; Caputo fractional-order derivative, solution; Banach’s contraction principle; Schauder’s fixed point theorem; Nonlinear alternative of Leray–Schauder type;
D O I：
10.1007/s12591-012-0110-1
中图分类号：
学科分类号：
摘要：
In this paper, the authors present some results concerning the existence and uniqueness of solutions of an integro-differential equation of fractional order by using Banach’s contraction principle, Schauder’s fixed point theorem, and the nonlinear alternative of Leray–Schauder type.
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页码：139 / 148
页数：9
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