Integro-Differential Equations of Fractional Order

被引：1
作者：
Saïd Abbas
Mouffak Benchohra
John R. Graef
机构：
[1] Laboratoire de Mathématiques, Université de Saïda, 20000 Saïda
[2] Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, 22000 Sidi Bel-Abbes
[3] Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN
来源：
Differential Equations and Dynamical Systems | 2012年 / 20卷 / 2期
关键词：
Banach's contraction principle; Caputo fractional-order derivative; solution; Integro-differential equation; Left-sided mixed Riemann-Liouville integral of fractional order; Nonlinear alternative of Leray-Schauder type; Schauder's fixed point theorem;
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. © 2012 Foundation for Scientific Research and Technological Innovation.
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页码：139 / 148
页数：9
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