Initial value problems for neutral fractional differential equations involving a Riemann–Liouville derivative

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摘要

We present the application of a monotone iterative method to neutral fractional problems. Given are sufficient conditions which guarantee that a neutral fractional differential equations with initial condition has a unique solution. Two examples illustrate the results.

论文关键词:Neutral fractional differential equations,Riemann–Liouville fractional derivatives,Delayed arguments,Monotone iterative method,Existence of solutions,Mittag–Leffler functions

论文评审过程:Available online 5 March 2013.

论文官网地址:https://doi.org/10.1016/j.amc.2013.02.001