Nonlinear fractional integro-differential equations on unbounded domains in a Banach space

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:249

Article

Zhang, Lihong¹  Ahmad, Bashir²  Wang, Guotao¹  Agarwal, Ravi P.^2,3 

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

关键词: Nonlinear fractional integro-differential equations;    Banach space;    Explicit iterative sequence;    Error estimate;    Infinite interval;   

DOI  :  10.1016/j.cam.2013.02.010

来源: Elsevier

【 摘 要 】

In this paper, by employing the fixed point theory and the monotone iterative technique, we investigate the existence of a unique solution for a class of nonlinear fractional integro-differential equations on semi-infinite domains in a Banach space. An explicit iterative sequence for approximating the solution of the boundary value problem is derived. An error estimate is also given. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free