Hindawi Publishing Corporation
Abstract and Applied Analysis
Volume 2013, Article ID 195429, 1 page
http://dx.doi.org/10.1155/2013/195429
Editorial
Advanced Theoretical and Applied Studies of Fractional
Differential Equations
Dumitru Baleanu,1 Juan J. Trujillo,2 and Bashir Ahmad3
1
Department of Mathematics and Computer Science, Cankaya University, 06530 Ankara, Turkey
Universidad de La Laguna, Departamento de Analisis Matematico, 38271 La Laguna, Spain
3
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
2
Correspondence should be addressed to Dumitru Baleanu; dumitru@cankaya.edu.tr
Received 7 March 2013; Accepted 7 March 2013
Copyright © 2013 Dumitru Baleanu et al. This is an open access article distributed under the Creative Commons Attribution
License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly
cited.
Fractional calculus (fractional derivatives and fractional
integrals together with their applications) is undergoing a
rapid development, from both theoretical as well as applied
viewpoints. Such a tool is an emergent topic, and within
its framework new concepts and applications, which lead
to a challenging insight, have appeared during the last few
decades.
It may be the nonlocal property of fractional operators
that could have motivated the rising of numerous new and
important applications in many branches of applied sciences
and engineering. Among other applications, modeling of
the dynamics of processes through complex media using
fractional calculus is an important one and has significantly
contributed to the popularity of the subject.
Therefore, the goal of this special issue was focused
on related topics with high current interest, both from
theoretical and practical points of view.
We received 70 manuscripts and only 35 highest quality
papers were accepted from the areas of mathematics, physics,
engineering, biology, and other fields. This special issue
contains the research papers on the existence theory of initial
and boundary value problems of fractional order, numerical
solutions of fractional differential equations, and modeling of
real-world problems using fractional calculus.
Dumitru Baleanu
Juan J. Trujillo
Bashir Ahmad
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