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

Call for Papers

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:

Manuscript DueFriday, 27 June 2014
First Round of ReviewsFriday, 19 September 2014
Publication DateFriday, 14 November 2014

Lead Guest Editor

  • Shurong Sun, School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

Guest Editors

  • Luisa Morgado, Mathematics Department, School of Science and Technology, University of Trás-os-Montes e Alto Douro, Vila Real, Portugal
  • Jehad Alzabut, Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia
  • Ivanka Stamova, Department of Mathematics, University of Texas at San Antonio, San Antonio, TX 78249, USA