Abstract and Applied Analysis

Fuzzy Linear and Nonlinear Integral Equations: Numerical Methods


Publishing date
24 Oct 2014
Status
Published
Submission deadline
06 Jun 2014

Lead Editor

1Department of Mathematics, Karaj Branch, IAU, Karaj, Iran

2Department of Computer Engineering, Mashhad Branch, IAU, Mashhad, Iran

3Machine Intelligence Institute, Iona College, 10801 New Rochelle, NY, USA


Fuzzy Linear and Nonlinear Integral Equations: Numerical Methods

Description

Integral equations are one of the most useful mathematical tools in both pure and applied mathematics. It has enormous applications in many real problems. Many initial and boundary value problems associated with ordinary differential equation (ODE) and partial differential equation (PDE) can be transformed into problems of solving some approximate integral equations.

Indeed, modeling such problems using integral equations with the exact parameters is not only easy but is also impossible in the real problems. For this purpose, one way is using some uncertainty measures for handling such lack of information. One the most and recent approaches is using Zadeh’s fuzzy concept. So, instead of using deterministic models, we provide fuzzy integral equations both linear and nonlinear forms.

In fact, obtaining the exact solutions of such fuzzy integral equations is not possible in all cases because of the inherited restrictions form application of fuzzy concepts in these problems. So, in this special issue, we intend to consider the numerical methods to solve fuzzy integral equations and the related topics with real applications. Potential topics include, but are not limited to:

  • Fuzzy linear and nonlinear integral equations with numerical methods
  • Investigating the convergence, stability, and consistency of numerical approaches
  • Numerically modeling the real problems associated with numerical methods
  • Considering the differences between deterministic and fuzzy numerical methods to solve fuzzy integral equations
  • Numerically solving fuzzy differential equations of arbitrary order using the equivalence fuzzy integral equations
  • Obtaining some approximations of the solutions via ranking approaches
  • Applications in real-world problems with numerical techniques

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/fuzz/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 147351
  • - Editorial

Fuzzy Linear and Nonlinear Integral Equations: Numerical Methods

Reza Ezzati | Soheil Salahshour | ... | Morteza Khodabin
  • Special Issue
  • - Volume 2014
  • - Article ID 140849
  • - Research Article

A Simplified Milstein Scheme for SPDEs with Multiplicative Noise

B. Ghayebi | S. M. Hosseini
  • Special Issue
  • - Volume 2014
  • - Article ID 782040
  • - Research Article

On Properties of Pseudointegrals Based on Pseudoaddition Decomposable Measures

Dong Qiu | Chongxia Lu
  • Special Issue
  • - Volume 2014
  • - Article ID 413570
  • - Research Article

Quadrature Rules and Iterative Method for Numerical Solution of Two-Dimensional Fuzzy Integral Equations

S. M. Sadatrasoul | R. Ezzati
  • Special Issue
  • - Volume 2014
  • - Article ID 564632
  • - Research Article

On Solution of Integrodifferential Equation with Delay Parameter by Sinc Basis Functions

I. Najafi Khalilsaraye | K. Maleknejad
  • Special Issue
  • - Volume 2014
  • - Article ID 968242
  • - Research Article

A New Reconstruction of Variational Iteration Method and Its Application to Nonlinear Volterra Integrodifferential Equations

K. Maleknejad | M. Tamamgar
  • Special Issue
  • - Volume 2014
  • - Article ID 713892
  • - Research Article

Approximating the Solution of the Linear and Nonlinear Fuzzy Volterra Integrodifferential Equations Using Expansion Method

T. Allahviranloo | S. Abbasbandy | S. Hashemzehi
Abstract and Applied Analysis
 Journal metrics
See full report
Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
Journal Citation Indicator-
Impact Factor-
 Submit Check your manuscript for errors before submitting

Article of the Year Award: Impactful research contributions of 2022, as selected by our Chief Editors. Discover the winning articles.