The Scientific World Journal

Theory, Methods, and Applications of Fractional Calculus


Publishing date
14 Mar 2014
Status
Published
Submission deadline
03 Jan 2014

Lead Editor

1Department of Applied Mathematics and Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa

2Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa

3Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey

4Department of Mathematics, National Institute of Technology, Rourkela, Orissa 769 008, India

5Mathematics Department, Faculty of Science, Alexandria University, Alexandria, Egypt


Theory, Methods, and Applications of Fractional Calculus

Description

In the recent years, fractional calculus has played a very important role in various fields. Based on the wide applications in engineering and sciences such as physics, mechanics, chemistry, and biology, research on fractional ordinary or partial differential equations and other relative topics is active and extensive around the world. In the past few years, the increase of the subject is witnessed by hundreds of research papers, several monographs, and many international conferences.

This special issue will be a devoted topic to high current interest falling within the scope of The Scientific World Journal with impact factor 1.730 and will attract many papers of the highest quality. The objective of this special issue is to highlight the importance of fractional operators and their applications and let the readers of this journal know about the possibilities of this new tool. Potential topics include, but are not limited to:

  • Mathematical analysis of fractional theoretical models
  • New methods for solving fractional differential equations
  • Applications of fractional operators, including fractional models
  • Controllability of fractional systems of differential equations or numerical methods applied to the solutions of fractional differential equations applications in physics, mechanics, and so forth
  • Iteration methods for solving partial and ordinary fractional equations
  • Numerical functional analysis and applications
  • Local and nonlocal boundary value problems for fractional partial differential equations
  • Stochastic partial fractional differential equations and applications
  • Computational methods in fractional partial differential equations
  • Mathematical and computer modelling
  • Applications of fractional calculus to real world problems

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/tswj/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/tswj/mathematical.analysis/tma/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 249717
  • - Editorial

Theory, Methods, and Applications of Fractional Calculus

Abdon Atangana | Adem Kiliçman | ... | Ahmed M. A. El-Sayed
  • Special Issue
  • - Volume 2014
  • - Article ID 918730
  • - Research Article

Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions

M. J. Mardanov | N. I. Mahmudov | Y. A. Sharifov
  • Special Issue
  • - Volume 2014
  • - Article ID 681707
  • - Research Article

A Domain Decomposition Method for Time Fractional Reaction-Diffusion Equation

Chunye Gong | Weimin Bao | ... | Jie Liu
  • Special Issue
  • - Volume 2014
  • - Article ID 489495
  • - Research Article

A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations

Özkan Güner | Adem C. Cevikel
  • Special Issue
  • - Volume 2014
  • - Article ID 920537
  • - Research Article

Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian

Dorota Bors
  • Special Issue
  • - Volume 2014
  • - Article ID 642989
  • - Research Article

High-Order Compact Difference Scheme for the Numerical Solution of Time Fractional Heat Equations

Ibrahim Karatay | Serife R. Bayramoglu
  • Special Issue
  • - Volume 2014
  • - Article ID 939027
  • - Research Article

Stability, Boundedness, and Lagrange Stability of Fractional Differential Equations with Initial Time Difference

Muhammed Çiçek | Coşkun Yakar | Bülent Oğur
  • Special Issue
  • - Volume 2014
  • - Article ID 752371
  • - Research Article

On the Singular Perturbations for Fractional Differential Equation

Abdon Atangana
  • Special Issue
  • - Volume 2014
  • - Article ID 327019
  • - Research Article

-Sumudu Transforms of -Analogues of Bessel Functions

Faruk Uçar
  • Special Issue
  • - Volume 2014
  • - Article ID 769713
  • - Research Article

Approximate Solution of Time-Fractional Advection-Dispersion Equation via Fractional Variational Iteration Method

Birol İbiş | Mustafa Bayram
The Scientific World Journal
 Journal metrics
Acceptance rate24%
Submission to final decision68 days
Acceptance to publication29 days
CiteScore2.900
Impact Factor-
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