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 2013
  • - Article ID 412028
  • - Research Article

Approximation of Eigenvalues of Sturm-Liouville Problems by Using Hermite Interpolation

M. M. Tharwat | S. M. Al-Harbi
  • Special Issue
  • - Volume 2013
  • - Article ID 176730
  • - Research Article

Approximate Solutions of Fisher's Type Equations with Variable Coefficients

A. H. Bhrawy | M. A. Alghamdi
  • Special Issue
  • - Volume 2013
  • - Article ID 760542
  • - Research Article

A Jacobi Collocation Method for Solving Nonlinear Burgers-Type Equations

E. H. Doha | D. Baleanu | ... | M. A. Abdelkawy
  • Special Issue
  • - Volume 2013
  • - Article ID 316978
  • - Research Article

Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

Yang Zhao | Dumitru Baleanu | ... | Xiao-Jun Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 542839
  • - Research Article

New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds

W. M. Abd-Elhameed | E. H. Doha | Y. H. Youssri
  • Special Issue
  • - Volume 2013
  • - Article ID 513808
  • - Research Article

Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method

A. H. Bhrawy | M. A. Alghamdi | D. Baleanu
  • Special Issue
  • - Volume 2013
  • - Article ID 828764
  • - Research Article

Numerical Solution of a Kind of Fractional Parabolic Equations via Two Difference Schemes

Abdon Atangana | Dumitru Baleanu
  • Special Issue
  • - Volume 2013
  • - Article ID 176180
  • - Research Article

Existence Results for a Class of Fractional Differential Equations with Periodic Boundary Value Conditions and with Delay

Hadi Karami | Azizollah Babakhani | Dumitru Baleanu
  • Special Issue
  • - Volume 2013
  • - Article ID 610314
  • - Research Article

Application of Fuzzy Fractional Kinetic Equations to Modelling of the Acid Hydrolysis Reaction

Ferial Ghaemi | Robiah Yunus | ... | Shanti Faridah Saleh
  • Special Issue
  • - Volume 2013
  • - Article ID 413529
  • - Research Article

A Modified Generalized Laguerre Spectral Method for Fractional Differential Equations on the Half Line

D. Baleanu | A. H. Bhrawy | T. M. Taha
Abstract and Applied Analysis
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Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.200
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