Approximation approach to periodic BVP for mixed fractional differential systems

None, None; None, None

Approximation approach to periodic BVP for mixed fractional differential systems

Journal Article (2018)

Author(s)

Michal Fečkan (Mathematical Institute of Slovak Academy of Sciences, Comenius University)

Kateryna Marynets (Uzhhorod National University)

Affiliation

External organisation

Periodic boundary condition Approximation of solution Fractional Duffing equation System of fractional differential equations

DOI related publication

https://doi.org/10.1016/j.cam.2017.10.028 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:8e18e23f-d623-4630-ac04-095c557a5e0c

More Info

expand_more

Publication Year

2018

Language

English

Affiliation

External organisation

Volume number

339

Pages (from-to)

208-217

Downloads counter

76

Abstract

A numerical–analytic technique is presented for approximation of solutions of coupled fractional differential equations (FDEs) with different orders of fractional derivatives and subjected to periodic boundary conditions. Convergent sequences of functions are constructed with limit functions satisfying modified FDEs and periodic conditions. They are solutions of the given periodic BVP, if the corresponding system of determined equations has a root. An example of fractional Duffing equation is also presented to illustrate the theory.