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Advances in Fractional Differential Equations and Their Real World Applications - Part Two

Advances in Difference Equations welcomes submissions to the thematic series titled 'Advances in Differential Equations and Their Real World Applications (Part Two)'.

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.

The research areas include theoretical development and applications of the followings topics 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 bioengineering medicine, mechanical, engineering, finances economics, ecology, biology, mathematical physics etc.

Deadline for Submissions: 31st January 2019

Lead Guest Editor: 
Dumitru Baleanu, Cankaya University, Turkey

Guest Editors: 
Shaner Momani, Mu'tah University, Jordan
Guo-Cheng Wu, Nanjing University of Finance and Economics, China
Carla M. A. Pinto, Polytechnic of Porto, Portugal
Eqab Rabei, Al al Bayt University, Jordan

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 journal's 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 complex needs. All submissions will undergo rigorous peer-review and accepted articles will be published in the journal as a collection. 

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 

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