Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative
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摘要
Based on an elementary inequality and two Gronwall–Bellman type integral inequality systems, this paper generalizes the results for the constructions of explicit bounds and the qualitative properties for the solutions of certain fractional systems with Hadamard derivative established in a recent paper by the authors. The major generalizations come from linearization method and de-singular approach after overcoming some difficulties in the Hadamard type singular kernel.
论文关键词：Hadamard fractional differential equations,Integral inequality,Component-wise,A priori bound and uniqueness,Continuous dependence
论文评审过程：Available online 15 November 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.10.084
