Mathematical Problems in Engineering

Partial Fractional Equations and their Applications


Publishing date
06 Mar 2015
Status
Published
Submission deadline
17 Oct 2014

Lead Editor

1University of the Free State, Bloemfontein, South Africa

2University of Mazandaran, Babolsar, Iran

3Alfaisal University, Riyadh, Saudi Arabia

4Yildiz Technical University, Istanbul, Turkey


Partial Fractional Equations and their Applications

Description

In current years, the partial differential equations, both fractional and integer orders have been documented as a dominant modelling procedure. To precisely reproduce the nonlocal, frequency- and history-dependent properties of power law phenomena, some different modelling tools based on fractional operators have to be introduced.

In particular, the advantages of fractional calculus and fractional order models meaning differential systems involving fractional order integrodifferential operators and their applications have already been intensively studied during the last few decades with excellent results.

The long-range temporal or spatial dependence phenomena inherent to the fractional order systems present unique peculiarities not supported by their integer order counterpart, which permit better models of the dynamics of complex processes. Although noninteger differentiation has become a popular tool for modelling and controlling the behaviours of physical systems from diverse applied branches of the science, many problems remain to be explored and solved.

While the investigation of the phenomena is described by the interaction of many organisms, the microsimulation plays an important role, and as a result the computers become more and more scientific instruments.

The objective of this special issue is to report and review the latest progress in the following areas of partial differential equations.

Potential topics include, but are not limited to:

  • Fractional partial differential equations and their applications in science and engineering
  • Modelling and simulation real world phenomena with partial differential equations
  • Analytical and numerical methods for partial differential equations
  • New applications of the iterations method
  • Anomalous diffusion

Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 387205
  • - Editorial

Partial Fractional Equations and Their Applications

Abdon Atangana | Hossein Jafari | ... | Mustafa Bayram
  • Special Issue
  • - Volume 2015
  • - Article ID 457013
  • - Research Article

A New Approach and Solution Technique to Solve Time Fractional Nonlinear Reaction-Diffusion Equations

Inci Cilingir Sungu | Huseyin Demir
  • Special Issue
  • - Volume 2015
  • - Article ID 805763
  • - Research Article

Symmetry Analysis and Conservation Laws of a Generalized Two-Dimensional Nonlinear KP-MEW Equation

Khadijo Rashid Adem | Chaudry Masood Khalique
  • Special Issue
  • - Volume 2015
  • - Article ID 753936
  • - Research Article

Fractional Heat Conduction Models and Thermal Diffusivity Determination

Monika Žecová | Ján Terpák
  • Special Issue
  • - Volume 2015
  • - Article ID 212760
  • - Research Article

On Analysis of Fractional Navier-Stokes Equations via Nonsingular Solutions and Approximation

Emile Franc Doungmo Goufo | Stella Mugisha
  • Special Issue
  • - Volume 2015
  • - Article ID 309870
  • - Research Article

Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators

Hassan Kamil Jassim | Canan Ünlü | ... | Chaudry Masood Khalique
  • Special Issue
  • - Volume 2015
  • - Article ID 131690
  • - Research Article

Sumudu Transform Method for Analytical Solutions of Fractional Type Ordinary Differential Equations

Seyma Tuluce Demiray | Hasan Bulut | Fethi Bin Muhammad Belgacem
  • Special Issue
  • - Volume 2015
  • - Article ID 780929
  • - Research Article

Analytical Solution of Space-Time Fractional Fokker-Planck Equation by Homotopy Perturbation Sumudu Transform Method

Ravi Shanker Dubey | Badr Saad T. Alkahtani | Abdon Atangana
  • Special Issue
  • - Volume 2015
  • - Article ID 217348
  • - Research Article

Application of Sinc-Galerkin Method for Solving Space-Fractional Boundary Value Problems

Sertan Alkan | Aydin Secer
  • Special Issue
  • - Volume 2015
  • - Article ID 289387
  • - Research Article

On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind

Dinesh Kumar | S. D. Purohit | ... | A. Atangana
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Impact Factor1.009
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