Dear Colleagues,

The phenomenon of anomalous diffusion is an important dynamics behavior that occurs in many applied science fields, such as turbulence, seepage in porous media and pollution control. Therefore, nonlinear modeling is a better strategy to depict a variety of complex anomalous-diffusion phenomena. However, modeling anomalous diffusion by using differential equations is still a perplexing mathematical physics issue. Because fractal and fractional derivatives can accurately describe the inherent abnormal-exponential or heavy-tail-decay processes, in recent decades, fractal and fractional derivatives have been used to model many anomalous diffusion processes.

Thus, fractional differential equations in anomalous diffusion have become a new research area for analytical mathematics, providing useful tools to model many problems arising from mathematical physics, fluid dynamics, chemistry, biology, economics, control theory and image processing with memory effects.

We invite researchers to submit original research articles as well as review articles on the recent developments in fractional differential equations in anomalous diffusion and their applications in science, technology and engineering.

Topics include but are not limited to:

• Theory of fractal or the fractional derivatives
• Initial and boundary-value problems of fractional differential equations in anomalous diffusion
• Inequalities of fractional integrals and fractional derivatives
• Singular and impulsive fractional differential and integral equations
• Analysis and control of fractal or fractional differential equations with anomalous diffusion
• Numerical analysis and algorithms for fractional differential equations
• Fixed-point theory and its application in fractional calculus
• Fractional functional equations in function spaces
• Fractional networks arising in physical models
• Fractional stochastic differential equations

Dr. Xinguang Zhang
Prof. Dr. Yonghong Wu
Prof. Dr. Chuanjun Chen
Dr. Jiwei Zhang
Dr. Chun Lu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• fractal or fractional derivatives
• initial and boundary-value problems
• fractional differential equations
• anomalous diffusion
• fractional network
• numerical analysis and algorithm