Back to Search
Start Over
Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative
- 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.
- Subjects :
- Hadamard three-circle theorem
Applied Mathematics
Hadamard three-lines theorem
Mathematical analysis
MathematicsofComputing_NUMERICALANALYSIS
Type (model theory)
Hadamard's inequality
Fractional calculus
Computational Mathematics
Complex Hadamard matrix
Linearization
Hadamard transform
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
Applied mathematics
Mathematics
Subjects
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