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Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
Journal article   Open access  Peer reviewed

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

Lihong Zhang, Bashir Ahmad, Guotao Wang and Ravi P. Agarwal
Journal of computational and applied mathematics, Vol.249, pp.51-56
01/09/2013
DOI: https://doi.org/10.1016/j.cam.2013.02.010

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
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https://doi.org/10.1016/j.cam.2013.02.010View
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