Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative

Qinghua Ma, Rongnian Wang, Junwei Wang and Yicheng Ma

Applied Mathematics and Computation, 2015, vol. 257, issue C, 436-445

Abstract: 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.

Keywords: Hadamard fractional differential equations; Integral inequality; Component-wise; A priori bound and uniqueness; Continuous dependence (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:436-445

DOI: 10.1016/j.amc.2014.10.084

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