Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations

被引：7
|
作者：
Valizadeh, M. [1 ]
Mahmoudi, Y. [1 ]
Saei, F. Dastmalchi [1 ]
机构：
[1] Islamic Azad Univ, Tabriz Branch, Dept Math, Tabriz, Iran
来源：
JOURNAL OF MATHEMATICS | 2019年 / 2019卷
关键词：
RUNGE-KUTTA METHODS; CONVERGENCE;
D O I：
10.1155/2019/3913840
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called "perturbed decomposition natural transform method" (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. Numerical evaluations are included to demonstrate the validity and applicability of this technique.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Jacobi spectral collocation method for solving fractional pantograph delay differential equations
    Yang, Changqing
    Hou, Jianhua
    Lv, Xiaoguang
    [J]. ENGINEERING WITH COMPUTERS, 2022, 38 (03) : 1985 - 1994
  • [2] Jacobi spectral collocation method for solving fractional pantograph delay differential equations
    Changqing Yang
    Jianhua Hou
    Xiaoguang Lv
    [J]. Engineering with Computers, 2022, 38 : 1985 - 1994
  • [3] Numerical Approach for Solving the Fractional Pantograph Delay Differential Equations
    Hajishafieiha, Jalal
    Abbasbandy, Saeid
    [J]. COMPLEXITY, 2022, 2022
  • [4] A Numerical Method for Fractional Pantograph Delay Integro-Differential Equations on Haar Wavelet
    Ahmad I.
    Amin R.
    Abdeljawad T.
    Shah K.
    [J]. International Journal of Applied and Computational Mathematics, 2021, 7 (2)
  • [5] Efficient spectral collocation method for nonlinear systems of fractional pantograph delay differential equations
    Zaky, M. A.
    Babatin, M.
    Hammad, M.
    Akgul, A.
    Hendy, A. S.
    [J]. AIMS MATHEMATICS, 2024, 9 (06): : 15246 - 15262
  • [6] Generalized differential transform method: Application to differential equations of fractional order
    Odibat, Zaid
    Momani, Shaher
    Erturk, Vedat Suat
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (02) : 467 - 477
  • [7] Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay
    Shah, Rasool
    Khan, Hassan
    Kumam, Poom
    Arif, Muhammad
    Baleanu, Dumitru
    [J]. MATHEMATICS, 2019, 7 (06)
  • [8] A fractional-order generalized Taylor wavelet method for nonlinear fractional delay and nonlinear fractional pantograph differential equations
    Yuttanan, Boonrod
    Razzaghi, Mohsen
    Vo, Thieu N.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (05) : 4156 - 4175
  • [9] Solving fractional pantograph delay equations by an effective computational method
    Hashemi, M. S.
    Atangana, A.
    Hajikhah, S.
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2020, 177 : 295 - 305
  • [10] Approximate solutions of generalized pantograph equations by the differential transform method
    Keskin, Y.
    Kurnaz, A.
    Kiris, M. E.
    Oturanc, G.
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2007, 8 (02) : 159 - 164
12345