Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it

被引：19
|
作者：
Rabbani, Mohsen [1 ]
Arab, Reza [1 ]
机构：
[1] Islamic Azad Univ, Sari Branch, Dept Math, Sari, Iran
来源：
MATHEMATICAL SCIENCES | 2017年 / 11卷 / 02期
关键词：
Measure of non-compactness; Integral equation; Homotopy perturbation;
D O I：
10.1007/s40096-017-0206-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the concept of contraction via the measure of non-compactness on a Banach space is investigated by generalizing some results which have been previously discussed in literatures. Furthermore, to validity of the theorems and homotopy perturbation method (HPM), as a technical solution, they are applied on some nonlinear singular integral equations.
引用
收藏
页码：87 / 94
页数：8
相关论文
共 50 条
  • [1] Extension of some theorems to find solution of nonlinear integral equation and homotopy perturbation method to solve it
    Mohsen Rabbani
    Reza Arab
    Mathematical Sciences, 2017, 11 : 87 - 94
  • [2] The Homotopy Perturbation Method to Solve a Wave Equation
    Gouder, P. M.
    Kolli, V. H.
    Page, Md. Hanif
    Chavaraddi, Krishna B.
    Chandaragi, Praveen
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2022, 13 (02): : 691 - 701
  • [3] Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
    Hazarika, Bipan
    Srivastava, H. M.
    Arab, Reza
    Rabbani, Mohsen
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 343 : 341 - 352
  • [4] The comparison of optimal homotopy asymptotic method and homotopy perturbation method to solve Fisher equation
    Ayati, Zainab
    Ahmady, Sima
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2016, 4 (01): : 43 - 53
  • [5] On the solution of the nonlinear Korteweg-de Vries equation by the homotopy perturbation method
    Yildirim, Ahmet
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2009, 25 (12): : 1127 - 1136
  • [6] HOMOTOPY PERTURBATION METHOD COMBINED WITH ZZ TRANSFORM TO SOLVE SOME NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
    Riabi, Lakhdar
    Belghaba, Kacem
    Cherif, Mountassir Hamdi
    Ziane, Djelloul
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2019, 17 (03): : 406 - 419
  • [7] A SOLUTION OF RICCATI NONLINEAR DIFFERENTIAL EQUATION USING ENHANCED HOMOTOPY PERTURBATION METHOD (EHPM)
    Ranjbar, A.
    Hosseinnia, S. H.
    Soltani, H.
    Ghasemi, J.
    INTERNATIONAL JOURNAL OF ENGINEERING, 2008, 21 (01): : 27 - 38
  • [8] Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method
    Ghasemi, M.
    Kajani, M. Tavassoli
    Davari, A.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) : 341 - 345
  • [9] A modified homotopy perturbation method for solving the nonlinear mixed Volterra-Fredholm integral equation
    Dong, Chunhuan
    Chen, Zhong
    Jiang, Wei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 239 : 359 - 366
  • [10] A solution of Riccati nonlinear differential equation using enhanced Homotopy Perturbation Method (ehpm)
    Ranjbar, A.
    Hosseinnia, S.H.
    Soltani, H.
    Ghasemi, J.
    International Journal of Engineering, Transactions B: Applications, 2008, 21 (01): : 27 - 38
12345