Solution of fuzzy singular integral equation with Abel's type kernel using a novel hybrid method

被引：6
|
作者：
Bushnaq, S. [1 ]
Ullah, Z. [2 ]
Ullah, A. [2 ]
Shah, K. [2 ]
机构：
[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman, Jordan
[2] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Laplace transform; Adomian Decomposition Method; Fuzzy Volterra Abel's integral equation; Laplace Adomian Decomposition Method; Fuzzy number; FRACTIONAL-ORDER; NUMERICAL-SOLUTIONS; 2ND KIND;
D O I：
10.1186/s13662-020-02623-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel's integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel's integral equation will be converted into a system of integral equations as in a crisp case. Moreover, to solve the general fuzzy Volterra integral equation with Abel's type kernel, and to show that the proposed method is efficient, a few accurate and simple examples are given for the demonstration of our results.
引用
收藏
页数：13
相关论文
共 17 条
  • [1] Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method
    S. Bushnaq
    Z. Ullah
    A. Ullah
    K. Shah
    Advances in Difference Equations, 2020
  • [2] Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method
    Ali, Mohamed R.
    Mousa, Mohamed M.
    Ma, Wen-Xiu
    ADVANCES IN MATHEMATICAL PHYSICS, 2019, 2019
  • [3] A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right-Hand Function
    Elahi, M. R.
    Mahmoudi, Y.
    Shamloo, A. Salimi
    Rad, M. Jahangiri
    ADVANCES IN MATHEMATICAL PHYSICS, 2023, 2023
  • [4] A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method
    Sakar, Mehmet Giyas
    Saldir, Onur
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 64 (1-2) : 227 - 254
  • [5] ANALYSIS OF FRACTIONAL ORDER SCHRODINGER EQUATION WITH SINGULAR AND NON-SINGULAR KERNEL DERIVATIVES VIA NOVEL HYBRID SCHEME
    Arora, Shelly
    Dhaliwal, S. S.
    Ma, Wen Xiu
    Pasrija, Atul
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2025, 15 (02): : 1039 - 1067
  • [6] A novel iterative solution for time-fractional Boussinesq equation by reproducing kernel method
    Mehmet Giyas Sakar
    Onur Saldır
    Journal of Applied Mathematics and Computing, 2020, 64 : 227 - 254
  • [7] THE ADOMIAN DECOMPOSITION METHOD FOR SOLVING HEAT TRANSFER LIGHTHILL SINGULAR INTEGRAL EQUATION USING MAPLE
    Maturi, Dalal Adnan
    INTERNATIONAL JOURNAL OF GEOMATE, 2022, 22 (89): : 16 - 23
  • [8] NUMERICAL SOLUTION OF INTEGRAL EQUATION USING GALERKIN METHOD WITH HERMITE, CHEBYSHEV & ORTHOGONAL POLYNOMIALS
    Ahmad, Najmuddin
    Singh, Balmukund
    JOURNAL OF SCIENCE AND ARTS, 2020, (01) : 35 - 42
  • [9] Solution for generalized fuzzy time-fractional Fisher's equation using a robust fuzzy analytical approach
    Verma, Lalchand
    Meher, Ramakanta
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2024, 9 (05) : 475 - 488
  • [10] NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD
    Behzadi, Sh. Sadigh
    Yildirim, A.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2012, 2 (01): : 1 - 10
12