Analytic study on linear neutral fractional differential equations

作者：Zhou Xian Feng^*; Yang Fuli; Jiang Wei

来源：Applied Mathematics and Computation, 2015, 257: 295-307.

DOI：10.1016/j.amc.2014.12.056

• Linear fractional differential equation
• Neutral
• Existence
• Uniqueness
• Iterative formula

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.

• 出版日期2015-4-15
• 单位安徽大学