Theory, Methods, and Applications of Fractional Calculus

Publishing date

14 Mar 2014

Status

Published

Submission deadline

03 Jan 2014

Lead Editor

Abdon Atangana¹

Guest Editors

Adem Kılıçman | Suares Clovis Oukouomi Noutchie² | Aydin Secer³ | Santanu Saha Ray⁴ | Ahmed M. A. El-Sayed⁵

¹Department of Applied Mathematics and Institute for Groundwater Studies, University of the Free State, Bloemfontein, South Africa

²Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa

³Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey

⁴Department of Mathematics, National Institute of Technology, Rourkela, Orissa 769 008, India

⁵Mathematics Department, Faculty of Science, Alexandria University, Alexandria, Egypt

Theory, Methods, and Applications of Fractional Calculus

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In the recent years, fractional calculus has played a very important role in various fields. Based on the wide applications in engineering and sciences such as physics, mechanics, chemistry, and biology, research on fractional ordinary or partial differential equations and other relative topics is active and extensive around the world. In the past few years, the increase of the subject is witnessed by hundreds of research papers, several monographs, and many international conferences.

This special issue will be a devoted topic to high current interest falling within the scope of The Scientific World Journal with impact factor 1.730 and will attract many papers of the highest quality. The objective of this special issue is to highlight the importance of fractional operators and their applications and let the readers of this journal know about the possibilities of this new tool. Potential topics include, but are not limited to:

Mathematical analysis of fractional theoretical models
New methods for solving fractional differential equations
Applications of fractional operators, including fractional models
Controllability of fractional systems of differential equations or numerical methods applied to the solutions of fractional differential equations applications in physics, mechanics, and so forth
Iteration methods for solving partial and ordinary fractional equations
Numerical functional analysis and applications
Local and nonlocal boundary value problems for fractional partial differential equations
Stochastic partial fractional differential equations and applications
Computational methods in fractional partial differential equations
Mathematical and computer modelling
Applications of fractional calculus to real world problems

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