ANALYTIC APPROXIMATE SOLUTIONS FOR A CLASS OF VARIABLE ORDER FRACTIONAL DIFFERENTIAL EQUATIONS USING THE POLYNOMIAL LEAST SQUARES METHOD

被引：11
|
作者：
Bota, Constantin [1 ]
Caruntu, Bogdan [1 ]
机构：
[1] Politehn Univ Timisoara, Dept Math, P Ta Victoriei 2, Timisoara 300006, Romania
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 04期
关键词：
nonlinear variable order fractional differential equation; approximate analytic polynomial solution; Polynomial Least Squares Method; BOUNDARY-VALUE-PROBLEMS; DERIVATIVE MODEL;
D O I：
10.1515/fca-2017-0054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a new way to compute analytic approximate polynomial solutions for a class of nonlinear variable order fractional differential equations is proposed, based on the Polynomial Least Squares Method (PLSM). In order to emphasize the accuracy and the efficiency of the method several examples are included.
引用
收藏
页码：1043 / 1050
页数：8
相关论文
共 50 条
  • [21] Approximate solutions of Atangana-Baleanu variable order fractional problems
    Li, Xiuying
    Gao, Yang
    Wu, Boying
    AIMS MATHEMATICS, 2020, 5 (03): : 2285 - 2294
  • [22] Numerical solution of variable order fractional differential equations by using shifted Legendre cardinal functions and Ritz method
    Yousefi, Faezeh Sadat
    Ordokhani, Yadollah
    Yousefi, Sohrabali
    ENGINEERING WITH COMPUTERS, 2022, 38 (03) : 1977 - 1984
  • [23] A meshless local Galerkin method for solving Volterra integral equations deduced from nonlinear fractional differential equations using the moving least squares technique
    Assari, Pouria
    Dehghan, Mehdi
    APPLIED NUMERICAL MATHEMATICS, 2019, 143 : 276 - 299
  • [24] Existence of positive solutions in the space of Lipschitz functions to a class of fractional differential equations of arbitrary order
    Lopez, B.
    Harjani, J.
    Sadarangani, K.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (04) : 1281 - 1294
  • [25] EXISTENCE THEORY TO A CLASS OF FRACTIONAL ORDER HYBRID DIFFERENTIAL EQUATIONS
    Jan, Muhammad Naeem
    Zaman, Gul
    Ahmad, Imtiaz
    Ali, Nigar
    Nisar, Kottakkaran Sooppy
    Abdel-Aty, Abdel-Haleem
    Zakarya, M.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (01)
  • [26] Symbolic computation of analytic approximate solutions for nonlinear differential equations with boundary conditions
    Lin, Yezhi
    Liu, Yinping
    Li, Zhibin
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 222 : 145 - 166
  • [27] Existence and approximation of solutions to fractional order hybrid differential equations
    Somjaiwang, Dussadee
    Ngiamsunthorn, Parinya Sa
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [28] Symbolic computation of analytic approximate solutions for nonlinear differential equations with initial conditions
    Lin, Yezhi
    Liu, Yinping
    Li, Zhibin
    COMPUTER PHYSICS COMMUNICATIONS, 2012, 183 (01) : 106 - 117
  • [29] EXISTENCE OF SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS WITH FRACTIONAL-ORDER DERIVATIVE TERMS
    Sun, Ai
    Su, Youhui
    Yuan, Qingchun
    Li, Tongxiang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2021, 11 (01): : 486 - 520
  • [30] MONOTONE ITERATIVE METHOD FOR SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATIONS
    Padhi, Seshadev
    Prasad, B. S. R., V
    Srivastava, Satyam Narayan
    Bhuyan, Shasanka Dev
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2019, 77 : 59 - 69
12345