The predictor-corrector solution for fractional order differential algebraic equation

Author

Lijin Wang ; Ning Chen

Author_Institution

Coll. of Mech. & Electron. Eng., Forestry Univ. Nanjing, Nanjing, China

fYear

2014

fDate

23-25 June 2014

Firstpage

1

Lastpage

6

Abstract

Fractional order differential algebraic equations (FDAEs) are more complex than fractional differential equations (FDEs) on analytical and numerical analysis. In this paper, the sliding mode control theory is introduced to convert the FDAEs into FDEs firstly. Then the predictor-corrector method is used to solve FDEs. To avoid the constraint violations, the numerical results have been corrected. Furthermore, the iterative convergence of numerical algorithm and stability are discussed in detail. Finally, a numerical example is given to verify the validity of the proposed approach.

Keywords

convergence; differential algebraic equations; iterative methods; numerical stability; variable structure systems; FDAEs; FDEs; fractional order differential algebraic equation; iterative convergence; numerical analysis; numerical stability; predictor-corrector solution; sliding mode control theory; Differential algebraic equations; Jacobian matrices; Mathematical model; Polynomials; Vectors; convergence; fractional order differential algebraic equation; predictor-corrector; stability; the sliding mode control; violation correction;

fLanguage

English

Publisher

ieee

Conference_Titel

Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on

Conference_Location

Catania

Type

conf

DOI

10.1109/ICFDA.2014.6967442

Filename

6967442