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Study on some qualitative properties for solutions of a certain two-dimensional fractional differential system with Hadamard derivative
Institution:Faculty of Information Science and Technology, Guangdong University of Foreign Studies, Guangzhou 510420, PR China
Abstract:By means of the de-singular method and a result on two-dimensional Gronwall–Bellman type integral inequalities, the component-wise (instead of being on some norms) a prior bounds are obtained for solutions of a class of the nonlinear two-dimensional system of fractional differential equations with the Hadamard derivative. The uniqueness and continuous dependence of the solutions for the systems are also discussed here.
Keywords:Hadamard fractional differential equations  Integral inequality  Component-wise  A priori bounds and uniqueness  Continuous dependence
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