A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations-Reference-Cited by-同舟云学术

A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Ma Xiao-Jing¹,Srivastava H. M.²,Baleanu Dumitru³⁴⁵,Yang Xiao-Jun⁶

Affiliation:

1. College of Electrical Engineering, Xinjiang University, Urumqi, Xinjiang 830046, China

2. Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3R4

3. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey

4. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

5. Institute of Space Sciences, Magurele, 077125 Bucharest, Romania

6. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, China

Abstract

We propose a new Neumann series method to solve a family of local fractional Fredholm and Volterra integral equations. The integral operator, which is used in our investigation, is of the local fractional integral operator type. Two illustrative examples show the accuracy and the reliability of the obtained results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/325121.pdf

Reference44 articles.

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. New Numerical Results on Existence of Volterra–Fredholm Integral Equation of Nonlinear Boundary Integro-Differential Type;Symmetry;2023-05-24

2. Analysis and Fractal Dynamics of Local Fractional Partial Differential Equations Occurring in Physical Sciences;Journal of Computational and Nonlinear Dynamics;2023-01-11

3. Quasilinearization-based Legendre collocation method for solving a class of functional Volterra integral equations;Asian-European Journal of Mathematics;2022-10-19

4. An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations;Mathematics and Computers in Simulation;2022-06

5. A Local Fractional Elzaki Transform Decomposition Method for the Nonlinear System of Local Fractional Partial Differential Equations;Fractal and Fractional;2022-03-18