Abstract and Applied Analysis

Fractional and Time-Scales Differential Equations


Publishing date
27 Dec 2013
Status
Published
Submission deadline
09 Aug 2013

1Department of Mathematics and Computer Sciences, Cankaya University, Ankara, Turkey

2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

3Department of Mathematics, University of Aveiro, Aveiro, Portugal

4Department of Mathematics, Mobarakeh Branch, IAU, Iran


Fractional and Time-Scales Differential Equations

Description

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:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 365250
  • - Editorial

Fractional and Time-Scales Differential Equations

Dumitru Baleanu | Ali H. Bhrawy | ... | Soheil Salahshour
  • Special Issue
  • - Volume 2013
  • - Article ID 401596
  • - Research Article

Fractional Cauchy Problem with Riemann-Liouville Fractional Delta Derivative on Time Scales

Jiang Zhu | Ying Zhu
  • Special Issue
  • - Volume 2013
  • - Article ID 475350
  • - Research Article

On Solutions to Fractional Discrete Systems with Sequential -Differences

Małgorzata Wyrwas | Dorota Mozyrska | Ewa Girejko
  • Special Issue
  • - Volume 2013
  • - Article ID 304739
  • - Research Article

Numerical Solution of Fuzzy Fractional Pharmacokinetics Model Arising from Drug Assimilation into the Bloodstream

Ali Ahmadian | Norazak Senu | ... | Md. Shabiul Islam
  • Special Issue
  • - Volume 2013
  • - Article ID 465160
  • - Research Article

Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method

Limei Yan
  • Special Issue
  • - Volume 2013
  • - Article ID 675127
  • - Research Article

The Second Noether Theorem on Time Scales

Agnieszka B. Malinowska | Natália Martins
  • Special Issue
  • - Volume 2013
  • - Article ID 178378
  • - Research Article

On Solutions of Linear Fractional Differential Equations with Uncertainty

T. Allahviranloo | S. Abbasbandy | ... | D. Baleanu
  • Special Issue
  • - Volume 2013
  • - Article ID 585310
  • - Research Article

Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm

Dali Chen | YangQuan Chen | Dingyu Xue
  • Special Issue
  • - Volume 2013
  • - Article ID 810625
  • - Research Article

Local Observability of Systems on Time Scales

Zbigniew Bartosiewicz
  • Special Issue
  • - Volume 2013
  • - Article ID 162418
  • - Research Article

Positive Solutions Using Bifurcation Techniques for Boundary Value Problems of Fractional Differential Equations

Yansheng Liu
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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