Abstract and Applied Analysis

Advanced Theoretical and Applied Studies of Fractional Differential Equations


Publishing date
16 Nov 2012
Status
Published
Submission deadline
29 Jun 2012

1Department of Mathematics, Faculty of Art and Sciences, 06530 Balgat, Turkey

2Universidad de La Laguna, Departamento de Análisis Matemático, Avenida Astrofísico Francisco Sánchez s/n, 38271 La Laguna, Spain

3Department of Mathematics, King Abdulaziz University, Jehhad, Saudi Arabia


Advanced Theoretical and Applied Studies of Fractional Differential Equations

Description

The fractional calculus (fractional derivatives and fractional integrals) has been recognized as an effective modeling methodology for researchers. Based on the wildly 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 deal with the focused topic with high current interest falling within the scope of Abstract and Applied Analysis Journal and attract many articles 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. The topics included, but are not limited to:

  • Mathematical analysis of fractional theoretical models
  • 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

The audience of this special issue consists of mathematicians, physicists, engineers, chemist, biologists, economists, researchers, academics, and graduate students in fractional dynamics and its applications, theoretical and mathematical physics, and related disciplines.

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/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 195429
  • - Editorial

Advanced Theoretical and Applied Studies of Fractional Differential Equations

Dumitru Baleanu | Juan J. Trujillo | Bashir Ahmad
  • Special Issue
  • - Volume 2013
  • - Article ID 531038
  • - Research Article

The Positive Properties of Green’s Function for Fractional Differential Equations and Its Applications

Fuquan Jiang | Xiaojie Xu | Zhongwei Cao
  • Special Issue
  • - Volume 2013
  • - Article ID 463857
  • - Research Article

On the Laws of Total Local Times for -Paths and Bridges of Symmetric Lévy Processes

Masafumi Hayashi | Kouji Yano
  • Special Issue
  • - Volume 2012
  • - Article ID 918529
  • - Research Article

Fractional Difference Equations with Real Variable

Jin-Fa Cheng | Yu-Ming Chu
  • Special Issue
  • - Volume 2012
  • - Article ID 381708
  • - Research Article

An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems

Mohammad Maleki | Ishak Hashim | ... | Saeid Abbasbandy
  • Special Issue
  • - Volume 2012
  • - Article ID 529602
  • - Research Article

Numerical Solutions to Fractional Perturbed Volterra Equations

B. Bandrowski | A. Karczewska | P. Rozmej
  • Special Issue
  • - Volume 2012
  • - Article ID 512703
  • - Research Article

Robust Position Control of PMSM Using Fractional-Order Sliding Mode Controller

Jiacai Huang | Hongsheng Li | ... | Qinghong Xu
  • Special Issue
  • - Volume 2012
  • - Article ID 131652
  • - Research Article

On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces

Marko Kostić | Cheng-Gang Li | Miao Li
  • Special Issue
  • - Volume 2012
  • - Article ID 903518
  • - Research Article

Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup

He Yang
  • Special Issue
  • - Volume 2012
  • - Article ID 548292
  • - Research Article

A Characteristic Difference Scheme for Time-Fractional Heat Equations Based on the Crank-Nicholson Difference Schemes

Ibrahim Karatay | Serife R. Bayramoglu
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.200
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