Effect of perturbation in the numerical solution of fractional differential equations
Academic Article
Publication Date:
2018
abstract:
The equations describing engineering and real-life models are usually
derived in an approximated way. Thus, in most cases it is necessary to deal
with equations containing some kind of perturbation. In this paper we consider
fractional dfferential equations and study the eects on the continuous
and numerical solution, of perturbations on the given function, over long-time
intervals. Some bounds on the global error are also determined.
derived in an approximated way. Thus, in most cases it is necessary to deal
with equations containing some kind of perturbation. In this paper we consider
fractional dfferential equations and study the eects on the continuous
and numerical solution, of perturbations on the given function, over long-time
intervals. Some bounds on the global error are also determined.
Iris type:
01.01 Articolo in rivista
Keywords:
Fractional differential equations; Perturbations; Product-integration; Stability; Volterra integral equations
List of contributors:
Vecchio, Antonia
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