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

Authors :
Qing-Hua Ma
Junwei Wang
Yicheng Ma
Rong-Nian Wang
Source :
Applied Mathematics and Computation. 257:436-445
Publication Year :
2015
Publisher :
Elsevier BV, 2015.

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.

Details

ISSN :
00963003
Volume :
257
Database :
OpenAIRE
Journal :
Applied Mathematics and Computation
Accession number :
edsair.doi...........0f7613e8924ddf4dbaa89866c6c8165f
Full Text :
https://doi.org/10.1016/j.amc.2014.10.084