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New concepts and results in stability of fractional differential equations
Journal article   Peer reviewed

New concepts and results in stability of fractional differential equations

JinRong Wang, Linli Lv and Yong Zhou
Communications in nonlinear science & numerical simulation, Vol.17(6), pp.2530-2538
01/06/2012

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Physics Physics, Fluids & Plasmas Physics, Mathematical Science & Technology Technology
In this paper, some new concepts in stability of fractional differential equations are offered from different perspectives. Hyers-Ulam-Rassias stability as well as Hyers-Ulam stability of a certain fractional differential equation are presented. The techniques rely on a fixed point theorem in a generalized complete metric space. Some applications of our results are also provided. (C) 2011 Elsevier B.V. All rights reserved.

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