Analytic study on linear neutral fractional differential equations

Xian-Feng Zhou, Fuli Yang and Wei Jiang

Applied Mathematics and Computation, 2015, vol. 257, issue C, 295-307

Abstract: This paper is devoted to investigating linear neutral fractional differential equations with constant coefficients. The existence, uniqueness and iterative formula of the solution are obtained. Meanwhile, dependence of the solution on initial value and the general solution represented by a fundamental solution matrix are discussed. Several examples are given to illustrate the applications of our results. Some conclusions in the literature are extended greatly.

Keywords: Linear fractional differential equation; Neutral; Existence; Uniqueness; Iterative formula (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:295-307

DOI: 10.1016/j.amc.2014.12.056

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