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 2015
  • - Article ID 635714
  • - Editorial

New Trends on Fractional and Functional Differential Equations

Dumitru Baleanu | Ali H. Bhrawy | Robert A. Van Gorder
  • Special Issue
  • - Volume 2015
  • - Article ID 263748
  • - Research Article

Positive Solutions for Class of State Dependent Boundary Value Problems with Fractional Order Differential Operators

Dongyuan Liu | Zigen Ouyang | Huilan Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 782018
  • - Research Article

Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations

Junwei Liu | Chuanyi Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 393187
  • - Research Article

Green’s Function and Positive Solutions for a Second-Order Singular Boundary Value Problem with Integral Boundary Conditions and a Delayed Argument

Xuemei Zhang | Meiqiang Feng
  • Special Issue
  • - Volume 2014
  • - Article ID 942307
  • - Research Article

Parameter Estimation for Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion

Na Song | Zaiming Liu
  • Special Issue
  • - Volume 2014
  • - Article ID 463639
  • - Research Article

Global Well-Posedness and Long Time Decay of Fractional Navier-Stokes Equations in Fourier-Besov Spaces

Weiliang Xiao | Jiecheng Chen | ... | Xuhuan Zhou
  • Special Issue
  • - Volume 2014
  • - Article ID 218537
  • - Research Article

The Dynamics and Synchronization of a Fractional-Order System with Complex Variables

Xiaoya Yang | Xiaojun Liu | ... | Wansheng He
  • Special Issue
  • - Volume 2014
  • - Article ID 304071
  • - Research Article

Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

Wei Gu | Ming Wang | Dongfang Li
  • 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 518343
  • - Research Article

Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order

Asma Ali Elbeleze | Adem Kılıçman | Bachok M. Taib
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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