Abstract and Applied Analysis

New Trends on Fractional and Functional Differential Equations


Publishing date
10 Oct 2014
Status
Published
Submission deadline
23 May 2014

1Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

3Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA


New Trends on Fractional and Functional Differential Equations

Description

In recent past, there has been a remarkable development in the areas of fractional and functional differential equations and their applications. Approximate solutions of fractional calculus problems continue to be a major research area with widespread applications in mathematical physics, scientific computing, and the life sciences. Many physical phenomena are modeled by fractional and functional differential equations. Much progress has been made by implementing several numerical methods to approximate the solutions of fractional and functional differential equations, since most fractional and functional differential equations have no exact solutions.

This special issue comprises state-of-the-art articles from almost all the leading workers in these important and rapidly developing areas, making it a necessary resource for all researchers interested in theoretical analysis and numerical solutions of fractional and functional differential equations or related subjects. Potential topics include, but are not limited to:

  • Initial value problems
  • Boundary value problems
  • Ordinary and partial differential equations
  • Functional differential equations
  • Fractional differential equations
  • Numerical algorithms and computational aspects
  • Applications to real world phenomena

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/newt/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 901540
  • - Research Article

Generalized Kudryashov Method for Time-Fractional Differential Equations

Seyma Tuluce Demiray | Yusuf Pandir | Hasan Bulut
  • Special Issue
  • - Volume 2014
  • - Article ID 540351
  • - Research Article

Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem

Wenzhe Xie | Jing Xiao | Zhiguo Luo
  • Special Issue
  • - Volume 2014
  • - Article ID 630671
  • - Research Article

Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

Jing Niu | Ping Li
  • Special Issue
  • - Volume 2014
  • - Article ID 176253
  • - Research Article

A Novel Kernel for RBF Based Neural Networks

Wasim Aftab | Muhammad Moinuddin | Muhammad Shafique Shaikh
  • Special Issue
  • - Volume 2014
  • - Article ID 760957
  • - Research Article

Variational Iteration Transform Method for Fractional Differential Equations with Local Fractional Derivative

Yong-Ju Yang | Liu-Qing Hua
  • Special Issue
  • - Volume 2014
  • - Article ID 276279
  • - Research Article

Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method

Shaher Momani | Asad Freihat | Mohammed AL-Smadi
  • Special Issue
  • - Volume 2014
  • - Article ID 184626
  • - Research Article

On Solutions of a Nonlinear Erdélyi-Kober Integral Equation

Nurgali K. Ashirbayev | Józef Banaś | Raina Bekmoldayeva
  • Special Issue
  • - Volume 2014
  • - Article ID 590947
  • - Research Article

Regularized Fractional Power Parameters for Image Denoising Based on Convex Solution of Fractional Heat Equation

Hamid A. Jalab
  • Special Issue
  • - Volume 2014
  • - Article ID 369304
  • - Research Article

Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives

Abdon Atangana | Suares Clovis Oukouomi Noutchie
  • Special Issue
  • - Volume 2014
  • - Article ID 481657
  • - Research Article

Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus

Abdon Atangana | Seyma Tuluce Demiray | Hasan Bulut
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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