A new approach for solving fractional differential-algebraic equations

被引:13
|
作者
Ghomanjani, F. [1 ]
机构
[1] Kashmar Higher Educ Inst, Dept Math, Kashmar, Iran
来源
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2017年 / 11卷 / 06期
关键词
Fractional differential-algebraic equations (FDAEs); Numerical solution; Bezier method; BEZIER CONTROL POINTS;
D O I
10.1016/j.jtrusci.2017.03.006
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, the Bezier curves method is implemented to give approximate solutions for fractional differential-algebraic equations (FDAEs). This methods in applied mathematics can be used as approximated method for obtaining approximate solutions for different types of fractional differential equations. An illustrative example is included to demonstrate the validity and applicability of the suggested approach. (C) 2017 The Author. Production and hosting by Elsevier B.V. on behalf of Taibah University. This is an open access article under the CC BY-NC-ND license.
引用
收藏
页码:1158 / 1164
页数:7
相关论文
共 50 条
  • [41] A new approach for solving a system of fractional partial differential equations
    Jafari, H.
    Nazari, M.
    Baleanu, D.
    Khalique, C. M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) : 838 - 843
  • [42] A New Approach for Solving Nonlinear Fractional Ordinary Differential Equations
    Jassim, Hassan Kamil
    Hussein, Mohammed Abdulshareef
    MATHEMATICS, 2023, 11 (07)
  • [43] A new operational approach for solving fractional calculus and fractional differential equations numerically
    Wu, JL
    Chen, CH
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2004, E87A (05): : 1077 - 1082
  • [44] On the solvability of impulsive differential-algebraic equations
    Vlasenko L.A.
    Perestyuk N.A.
    Ukrainian Mathematical Journal, 2005, 57 (4) : 551 - 564
  • [45] On observability of switched differential-algebraic equations
    Tanwani, Aneel
    Trenn, Stephan
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 5656 - 5661
  • [46] Differential-algebraic equations and impasse points
    Reissig, G
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (02): : 122 - 133
  • [47] REGULARIZATION OF NONLINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS
    OMALLEY, RE
    KALACHEV, LV
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (02) : 615 - 629
  • [48] Delay regularity of differential-algebraic equations
    Trenn, Stephan
    Unger, Benjamin
    2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 989 - 994
  • [49] Differential-algebraic equations: A tutorial review
    Beardmore, RE
    Song, YH
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1998, 8 (07): : 1399 - 1411
  • [50] Generalized Derivatives of Differential-Algebraic Equations
    Stechlinski, Peter G.
    Barton, Paul I.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 171 (01) : 1 - 26