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Numerical analysis of the initial conditions in fractional systems |
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| Institution: | 1. Aalto University, Department of Mathematics and Systems Analysis, P.O. Box 11100, FI-00076 AALTO, Helsinki, Finland;2. University of Barcelona, Faculty of Mathematics. Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain;3. Universitat Politècnica de Catalunya - BarcelonaTech, Dept. Applied Mathematics III - EPSEM, Av. Bases de Manresa 61-73, 08242 Manresa, Spain |
| Abstract: | Fractional dynamics is a growing topic in theoretical and experimental scientific research. A classical problem is the initialization required by fractional operators. While the problem is clear from the mathematical point of view, it constitutes a challenge in applied sciences. This paper addresses the problem of initialization and its effect upon dynamical system simulation when adopting numerical approximations. The results are compatible with system dynamics and clarify the formulation of adequate values for the initial conditions in numerical simulations. |
| Keywords: | Fractional Calculus Initial conditions Numerical simulation |
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