@article { author = {Hoti, Marvin}, title = {Analysis of non-hyperbolic equilibria for Caputo fractional system}, journal = {Computational Methods for Differential Equations}, volume = {10}, number = {2}, pages = {298-306}, year = {2022}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2021.41486.1799}, abstract = {In this manuscript, a center manifold reduction of the flow of a non-hyperbolic equilibrium point on a planar dynamical system with the Caputo derivative is proposed. The stability of the non-hyperbolic equilibrium point is shown to be locally asymptotically stable, under suitable conditions, by using the fractional Lyapunov direct method.}, keywords = {Caputo derivative,Stability,Center manifold}, url = {https://cmde.tabrizu.ac.ir/article_12510.html}, eprint = {https://cmde.tabrizu.ac.ir/article_12510_78e1cfe36fbe222efcf7023c745cd3c8.pdf} }