Attractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equations

Baleanu, DumitruNazemi, Sayyedeh ZahraRezapour, Shahram2022-03-222022-03-222014Baleanu, 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.http://hdl.handle.net/20.500.12416/5169In 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.eninfo:eu-repo/semantics/openAccessAttractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equationsAttractivity for a K-Dimensional System of Fractional Functional Differential Equations and Global Attractivity for a K-Dimensional System of Nonlinear Fractional Differential EquationsArticle10.1186/1029-242X-2014-31