Solving fractional Riccati differential equation based on operational matrices

被引：0
|
作者：
Krishnaveni, K. [1 ]
Kannan, K. [1 ]
Balachandar, S. Raja [1 ]
机构：
[1] Sastra Univ, Sch Humanities & Sci, Dept Math, Thanjavur 613401, Tamil Nadu, India
来源：
JOURNAL OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING | 2014年 / 14卷 / 4-5期
关键词：
Fractional Riccati differential equation; shifted Legendre polynomials method; caputo fractional derivative; nonlinear differential equation; numerical solution;
D O I：
10.3233/JCM-140489
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the solution of fractional Riccati differential equation by using the operational matrix of shifted Legendre polynomial is discussed. The properties of shifted Legendre polynomials together with the Caputo fractional derivative are used to reduce the problem to the solution of nonlinear algebraic equations. Also the theoretical analysis of shifted Legendre polynomial method such as convergence and error analysis has been discussed. The illustrative examples demonstrate its applicability, validity and simplicity of the approximation scheme.
引用
收藏
页码：229 / 243
页数：15
相关论文
共 50 条
  • [31] A new class of operational matrices method for solving fractional neutral pantograph differential equations
    Lei Shi
    Xiaohua Ding
    Zhong Chen
    Qiang Ma
    Advances in Difference Equations, 2018
  • [32] A new class of operational matrices method for solving fractional neutral pantograph differential equations
    Shi, Lei
    Ding, Xiaohua
    Chen, Zhong
    Ma, Qiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [33] A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
    H. Azin
    F. Mohammadi
    J. A. Tenreiro Machado
    Computational and Applied Mathematics, 2019, 38
  • [34] Mittag-leffler function method for solving nonlinear riccati differential equation with fractional order
    Suresh, P.L.
    Piriadarshani, D.
    Journal of Combinatorial Mathematics and Combinatorial Computing, 2020, 112 : 287 - 296
  • [35] A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains
    Azin, H.
    Mohammadi, F.
    Tenreiro Machado, J. A.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (03):
  • [36] An accurate operational matrix method based on Lagrange polynomials for solving fractional-order pantograph delay and Riccati differential equations
    Kumar, Saurabh
    Gupta, Vikas
    Kumar, Ajay
    Gomez-Aguilar, J. F.
    PHYSICA SCRIPTA, 2023, 98 (04)
  • [37] Hybrid Functions Approach for the Fractional Riccati Differential Equation
    Maleknejad, Khosrow
    Torkzadeh, Leila
    FILOMAT, 2016, 30 (09) : 2453 - 2463
  • [38] An Algorithm for the Approximate Solution of the Fractional Riccati Differential Equation
    Ezz-Eldien, S. S.
    Machado, J. A. T.
    Wang, Y.
    Aldraiweesh, A. A.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (06) : 661 - 674
  • [39] A Numerical Approach for Fractional Order Riccati Differential Equation Using B-Spline Operational Matrix
    Hossein Jafari
    Haleh Tajadodi
    Dumitru Baleanu
    Fractional Calculus and Applied Analysis, 2015, 18 : 387 - 399
  • [40] A NUMERICAL APPROACH FOR FRACTIONAL ORDER RICCATI DIFFERENTIAL EQUATION USING B-SPLINE OPERATIONAL MATRIX
    Jafari, Hossein
    Tajadodi, Haleh
    Baleanu, Dumitru
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (02) : 387 - 399
12345