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
  • [21] The reducing rank method to solve third-order Duffing equation with the homotopy perturbation
    He, Ji-Huan
    El-Dib, Yusry O.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 37 (02) : 1800 - 1808
  • [22] Extension of Laplace transform–homotopy perturbation method to solve nonlinear differential equations with variable coefficients defined with Robin boundary conditions
    U. Filobello-Nino
    H. Vazquez-Leal
    Yasir Khan
    M. Sandoval-Hernandez
    A. Perez-Sesma
    A. Sarmiento-Reyes
    Brahim Benhammouda
    V. M. Jimenez-Fernandez
    J. Huerta-Chua
    S. F. Hernandez-Machuca
    J. M. Mendez-Perez
    L. J. Morales-Mendoza
    M. Gonzalez-Lee
    Neural Computing and Applications, 2017, 28 : 585 - 595
  • [23] Homotopy Perturbation Method for One-Dimensional Hyperbolic Equation with Integral Conditions
    Mohyud-Din, Syed Tauseef
    Yildirim, Ahmet
    Kaplan, Yasemin
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12): : 1077 - 1080
  • [24] Application of homotopy perturbation method in the solution of Fokker-Planck equation
    Jafari, M. A.
    Aminataei, A.
    PHYSICA SCRIPTA, 2009, 80 (05)
  • [25] Application of homotopy perturbation method to solve a nonlinear mathematical model of depletion of forest resources
    Buhe, Eerdun
    Rafiullah, Muhammad
    Jabeen, Dure
    Anjum, Naveed
    FRONTIERS IN PHYSICS, 2023, 11
  • [26] Approximate solution fuzzy pantograph equation by using homotopy perturbation method
    Jameel, A. F.
    Saaban, A.
    Ahadkulov, H.
    Alipiah, F. M.
    1ST INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS 2017 (ICOAIMS 2017), 2017, 890
  • [27] An Integrated Genetic Algorithm and Homotopy Analysis Method to Solve Nonlinear Equation Systems
    Omar, Hala A.
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [28] Extension of the Homotopy Perturbation Method for Solving Nonlinear Differential-Difference Equations
    Mousa, Mohamed Medhat
    Kaltayev, Aidarkan
    Bulut, Hasan
    ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2010, 65 (12): : 1060 - 1064
  • [29] On The Geometric Interpretations of The Klein-Gordon Equation And Solution of The Equation by Homotopy Perturbation Method
    Bulut, Hasan
    Baskonus, H. Mehmet
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2012, 7 (02): : 619 - 635
  • [30] Application of homotopy-perturbation method to the second kind of nonlinear integral equations
    Ganji, D. D.
    Afrouzi, G. A.
    Hosseinzadeh, H.
    Talarposhti, R. A.
    PHYSICS LETTERS A, 2007, 371 (1-2) : 20 - 25
12345