Approximation approach to periodic BVP for fractional differential systems

Journal article (2017)

Authors

Michal Fečkan Mathematical Institute of Slovak Academy of Sciences, Comenius University
K. Marynets Uzhhorod National University
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Published Date

01-12-2017

Language

English

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Abstract

We give a new approach of investigation and approximation of solutions of fractional differential systems (FDS) subjected to periodic boundary conditions. According to the main idea of the numerical–analytic technique, we construct a sequence of functions that it proved to be convergent. It is shown that the limit function of the constructed sequence satisfies a modified FDS and periodic conditions. It is a solution of the given periodic BVP, if the corresponding determined equation has a root. An example of fractional Duffing equation is also presented to illustrate the theory.