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A Collocation Method for the Numerical Solution of Nonlinear Fractional Dynamical Systems

Department SBAI, University of Roma “La Sapienza”, 00161 Roma, Italy
Current address: Via Antonio Scarpa 16, 00161 Roma, Italy.
Algorithms 2019, 12(8), 156; https://doi.org/10.3390/a12080156
Received: 5 July 2019 / Revised: 26 July 2019 / Accepted: 30 July 2019 / Published: 31 July 2019
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Abstract

Fractional differential problems are widely used in applied sciences. For this reason, there is a great interest in the construction of efficient numerical methods to approximate their solution. The aim of this paper is to describe in detail a collocation method suitable to approximate the solution of dynamical systems with time derivative of fractional order. We will highlight all the steps necessary to implement the corresponding algorithm and we will use it to solve some test problems. Two Mathematica Notebooks that can be used to solve these test problems are provided. View Full-Text
Keywords: fractional differential equation; nonlinear dynamical system; B-spline; collocation method fractional differential equation; nonlinear dynamical system; B-spline; collocation method
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Pitolli, F. A Collocation Method for the Numerical Solution of Nonlinear Fractional Dynamical Systems. Algorithms 2019, 12, 156.

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