On solutions of fractional order time varying linear dynamical systems model

[ X ]

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor and Francis Ltd.

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, the linear and nonlinear fractional order time varying linear dynamical systems model has been studied. The homotopy perturbation method is used to find the approximation solution. The obtained approximation solution is effective which is close to the exact solution. The results showed that the method is effective and useful. This method produce better approximations than the ones produced with the standard weighted residual methods. Additionally, some useful reproducing kernel functions have been obtained. Solutions of the models can be obtained by the reproducing kernel method with these reproducing kernel functions. © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group on behalf of the University of Bahrain.

Açıklama

Anahtar Kelimeler

Approximate solutions, bounded linear operator, numerical method, reproducing kernel functions

Kaynak

Arab Journal of Basic and Applied Sciences

WoS Q Değeri

Scopus Q Değeri

Q1

Cilt

28

Sayı

1

Künye