Abstract and Applied Analysis

Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics


Publishing date
14 Nov 2014
Status
Published
Submission deadline
27 Jun 2014

Lead Editor

1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

2Mathematics Department, School of Science and Technology, University of Trás-os-Montes e Alto Douro, Vila Real, Portugal

3Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

4Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA


Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics

Description

Fractional differential equations have been the subject of considerable interest recently. It is caused both by the intensive development of the theory of fractional differential equations itself and by the applications of such constructions in various sciences such as physics, mechanics, chemistry, and engineering. Along another line, it is well known that the qualitative theory of differential equations can be very useful in applications. Much attention has been given to stability, oscillation, asymptotic, existence, and uniqueness theory of differential equations and so forth in the literature over the past decades. The explosion in research within the fractional differential equation setting led to new developments in qualitative theories to fractional differential equations. It is well known that the analysis of fractional differential equations is more complex than that of classical differential equations, since fractional derivatives are nonlocal and have weakly singular kernels. As a result, the development of qualitative theories, especially oscillation, of nonlinear fractional differential equations has been a bit slow. Therefore, it is expected to establish qualitative theories of fractional differential equations.

Thus, we invite authors to contribute original research articles as well as review articles. Potential topics include, but are not limited to:

  • Recent developments on stability theory in fractional differential equations
  • Advances in existence and uniqueness theory in fractional differential equations
  • Development on oscillation theory of fractional equations
  • Numerical methods for solving fractional differential equations, numerical simulation, and convergence analysis for qualitative theories of the fractional differential equations
  • Applications of fractional differential equations

Before submission authors should carefully read over the journal’s Authors 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/tfer/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 724396
  • - Editorial

Recent Developments and Applications on Qualitative Theory of Fractional Equations and Related Topics

Shurong Sun | Luisa Morgado | ... | Ivanka Stamova
  • Special Issue
  • - Volume 2015
  • - Article ID 418293
  • - Research Article

On Jacobsthal and Jacobsthal-Lucas Circulant Type Matrices

Yanpeng Gong | Zhaolin Jiang | Yun Gao
  • Special Issue
  • - Volume 2014
  • - Article ID 795456
  • - Research Article

On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications

Kelong Cheng | Chunxiang Guo | Qingke Zeng
  • Special Issue
  • - Volume 2014
  • - Article ID 419597
  • - Research Article

Oscillation Behavior for a Class of Differential Equation with Fractional-Order Derivatives

Shouxian Xiang | Zhenlai Han | ... | Ying Sun
  • Special Issue
  • - Volume 2014
  • - Article ID 242591
  • - Research Article

Existence Results and the Monotone Iterative Technique for Nonlinear Fractional Differential Systems with Coupled Four-Point Boundary Value Problems

Yujun Cui | Yumei Zou
  • Special Issue
  • - Volume 2014
  • - Article ID 825715
  • - Research Article

Robust Stability of Neutral System with Mixed Time-Varying Delays and Nonlinear Perturbations Using Delay Decomposition Approach

Fang Qiu | Quanxin Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 601092
  • - Research Article

Solvability for a Discrete Fractional Three-Point Boundary Value Problem at Resonance

Weidong Lv
  • Special Issue
  • - Volume 2014
  • - Article ID 284953
  • - Research Article

Multiple Solutions to Elliptic Equations on with Combined Nonlinearities

Miaomiao Yang | Anran Li
  • Special Issue
  • - Volume 2014
  • - Article ID 257327
  • - Research Article

A Novel Four-Wing Hyperchaotic Complex System and Its Complex Modified Hybrid Projective Synchronization with Different Dimensions

Jian Liu | Shutang Liu | Fangfang Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 653797
  • - Research Article

High-Order Algorithms for Riesz Derivative and Their Applications

Hengfei Ding | Changpin Li | YangQuan Chen
Abstract and Applied Analysis
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Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
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