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Fractional and Time-Scales Differential Equations

Call for Papers

The theory and applications of fractional differential equations are gaining relevance since they are used in the modeling of different processes in physics, chemistry, and engineering.

Time-scale formalism unifies the theories of difference and differential equations. Therefore, time-scale analysis constitutes a good tool to study both discrete and continuous systems.

Recently, several attempts have been done to join the two subjects, developing a fractional calculus on time scales. The subject is still much evolving, and contributions joining the two areas are particularly welcome.

In order to apply fractional and/or time-scale differential equations for solving real problems, we need to add some uncertainty in the modeling. Therefore, often, problems are set-valued, for example, interval, fuzzy, or stochastic problems. Sometimes, combinations can be applied for different types of fractional and/or time-scale differentiability.

The special issue is focused on latest results in fractional and/or time-scale differential equations and their applications. Potential topics include, but are not limited to:

  • Set-valued ordinary and partial differential equations
  • Set-valued equations on time scales
  • Fractional set-valued differential equations
  • Equations with impulses
  • Calculus of variations and optimal control with time-scale and/or fractional derivatives
  • Interval and fuzzy fractional/time-scale differential equations
  • Stochastic set-valued differential systems with error analysis
  • Existence, uniqueness, and stability of solutions
  • Numerical simulations and computational aspects
  • Fractional impulsive differential equations with uncertainty
  • Fractional/time-scale numerical methods with uncertainty
  • Local fractional operators
  • Applications of fractional and/or time-scale calculus
  • Applications 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/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/frats/ according to the following timetable:

Manuscript DueFriday, 9 August 2013
First Round of ReviewsFriday, 1 November 2013
Publication DateFriday, 27 December 2013

Lead Guest Editor

  • Dumitru Baleanu, Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

Guest Editors

  • Ali H. Bhrawy, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
  • Delfim F. M. Torres, Department of Mathematics, University of Aveiro, Aveiro, Portugal
  • Soheil Salahshour, Department of Mathematics, Mobarakeh Branch, IAU, Iran