Approximation approach to periodic BVP for mixed fractional differential systems

Journal article (2018)

Authors

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

K. Marynets Uzhhorod National University

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

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Published Date

01-09-2018

Language

English

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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.