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.
Original language | English |
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Pages (from-to) | 3681-3692 |
Number of pages | 12 |
Journal | European Physical Journal: Special Topics |
Volume | 226 |
Issue number | 16-18 |
DOIs | |
Publication status | Published - 1 Dec 2017 |
Externally published | Yes |