Thematic series on Advances in Fractional Differential Equations and Their Real World Applications

Advances in Difference Equations welcomes submissions to the thematic series on Advances in Fractional Differential Equations and Their Real World Applications.


The content of this thematic series will contain the latest and the most significant results in fractional differential equations and their real world applications. The main aim is to highlight recent advances in this field as well as to bring together the best researchers in the field of fractional calculus and its applications. In the last sixty years, fractional calculus has emerged as a powerful and efficient mathematical tool in the study of several phenomena in science and engineering. As a result, hundreds of research papers, monographs and international conference papers, have been published. Research in fractional differentiation is inherently multi-disciplinary and its application is done in various contexts: elasticity, continuum mechanics, quantum mechanics, signal analysis, biomedicine, bioengineering, social systems, management, financial systems, turbulence, pollution control, landscape evolution, population growth and dispersal, complex systems, medical imaging, and finance, and some other branches of pure and applied mathematics. This special issue aims at promoting the exchange of novel and important theoretical and numerical results, as well as computational methods, to study fractional order systems, and to spread new trends in the area of fractional calculus and its real world applications.

Potential topics include but are not limited to:

  • Discrete fractional calculus
  • fractional variational principles
  • fractional differential equations and their application in modelling complex phenomena
  • fractional integral transforms and applications
  • Innovative theoretical and numerical analysis methods for fractional difference, differential functional and integral-fractional equations
  • Fractals and related topics
  • fractional calculus and connection to the fractal geometry
  • numerical methods for solving fractal differential equations
  • fractal signal processing and applications
  • Mixed fractional calculus and their applications
  • fractional calculus in modelling and controller design
  • Developing fractional optimal control analysis
  • Fluid-structure fractional-order interactions
  • Computational methods to solve fractional order systems
  • Fuzzy differential equations and their applications
  • Analytical and numerical methods for fractional stochastic differential equations
  • applications in bioengineeringmedicine
  • Nano technologies, mechanical, engineering, finances economics, ecology, biology, mathematical physics etc.


Submission Instructions

Before submitting your manuscript, please ensure you have carefully read the submission guidelines for Advances in Difference Equations. The complete manuscript should be submitted through the Advances in Difference Equations submission system. To ensure that you submit to the correct thematic series please select the appropriate thematic series in the drop-down menu upon submission. In addition, indicate within your cover letter that you wish your manuscript to be considered as part of the thematic series on Advances in Fractional Differential Equations and Their Real World Applications. All submissions will undergo rigorous peer review and accepted articles will be published within the journal as a collection.


Deadline for submissions: October 1st 2017


Lead Guest Editor

Dumitru Baleanu, Cankaya University, Turkey


Guest Editors

Carla Pinto, ISEP, Portugal

Kenan Tas, Cankaya University, Turkey

Guo-Cheng Wu, Neijiang Normal University, China


Submissions will also benefit from the usual advantages of open access publication:


  •  Rapid publication: Online submission, electronic peer review and production make the process of publishing your article simple and efficient
  • High visibility and international readership in your field: Open access publication ensures high visibility and maximum exposure for your work - anyone with online access can read your article
  • No space constraints: Publishing online means unlimited space for figures, extensive data and video footage
  • Authors retain copyright, licensing the article under a Creative Commons license: articles can be freely redistributed and reused as long as the article is correctly attributed

For editorial enquiries please contact editorial@advancesindifferenceequations.com

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