Analytical solution of fractional variable order differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:348

Article

Malesza, W.¹  Macias, M.¹  Sierociuk, D.¹ 

[1] Warsaw Univ Technol, Inst Control & Ind Elect, Koszykowa 75, PL-00662 Warsaw, Poland

关键词: Fractional derivatives and integrals;    Fractional differential equations;    Variable order;   

DOI  :  10.1016/j.cam.2018.08.035

来源: Elsevier

【 摘 要 】

The aim of this paper is to introduce an approach for solving fractional variable order linear differential equations. The approach is based on switching schemes that realize different types of variable order derivatives. Obtained analytical solutions are compared with numerical results. Achieved methods can be helpful, e.g., to validate existing or developed numerical algorithms for solving these types of equations. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free