Attractivity for a K-Dimensional System of Fractional Functional Differential Equations and Global Attractivity for a K-Dimensional System of Nonlinear Fractional Differential Equations
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Date
2014
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Springeropen
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GOLD
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Abstract
In this paper, we present some results for the attractivity of solutions for a k-dimensional system of fractional functional differential equations involving the Caputo fractional derivative by using the classical Schauder's fixed-point theorem. Also, the global attractivity of solutions for a k-dimensional system of fractional differential equations involving Riemann-Liouville fractional derivative are obtained by using Krasnoselskii's fixed-point theorem. We give two examples to illustrate our main results.
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Keywords
Financial economics, Fractional Differential Equations, Economics, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Differential equation, FOS: Mathematics, Comparison theorem, Discrete Mathematics and Combinatorics, Fixed-point theorem, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Bifurcations in Planar Polynomial Systems, Physics, Fractional calculus, Applied mathematics, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Nonlinear system, Geometry and Topology, Analysis, Mathematics, Riemann-Liouville fractional derivative, Fractional ordinary differential equations, Asymptotic theory of functional-differential equations, Schauder's fixed-point theorem, Krasnoselskii's fixed-point theorem, Caputo fractional derivative, Functional-differential equations with fractional derivatives
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram (2014). "Attractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equations", Journal of Inequalities and Applications.
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OpenCitations Citation Count
11
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Journal of Inequalities and Applications
Volume
2014
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CrossRef : 1
Scopus : 22
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