Global attractivity for fractional order delay partial integro-differential equations

Advances in Difference Equations

Mouffak Benchohra¹  Sad Abbas⁴  Dumitru Baleanu⁷ 

[1] de SaïDepartment of Mathematics and Computer Sciences, Cankaya University, Yenimahalle, Turkey;Institute of Space Sciences, Magurele, Romania;Laboratoire de Mathéda, Algéda, Saïmatiques, Universitérie

关键词: delay integro-differential equation;    left-sided mixed Riemann-Liouville integral of fractional order;    Caputo fractional-order derivative;    attractivity;    solution;    fixed point;   

DOI  :  10.1186/1687-1847-2012-62

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Our aim in this work is to study the existence and the attractivity of solutions for a system of delay partial integro-differential equations of fractional order. We use the Schauder fixed point theorem for the existence of solutions, and we prove that all solutions are locally asymptotically stable. AMS (MOS) Subject Classifications: 26A33.

【 授权许可】

CC BY