Special Issue "Recent Advances in Computational Physics with Fractional Application"

Dear Colleagues,

This Special Issue is devoted to “Recent Advances in Computational Physics with Fractional Application”.

Fractional calculus, a generalization of integer-order differentiation and integration, has applications in diverse and widespread fields of applied sciences and engineering, such as in image processing, financial modeling, control theory for dynamical systems, disease modelling, nanotechnology, random walks, anomalous transport and anomalous diffusion, viscoelasticity, as well as many others.

Nonlinear partial differential equations are used to explain a wide range of physical phenomena that arise in applied physics, including fluid dynamics, plasma physics, solid mechanics, and quantum field theory. Many of these equations are nonlinear and are thus frequently difficult to solve explicitly. Some direct and systematic methods have been developed to study nonlinear partial differential equations, such as the extended Tanh-function method, sub-equation method, inverse scattering method, G′/G expansion method, simplest method, Painlevé analysis, Cole–Hopf transformation, inverse scattering method, the Bäcklund transformation method, Hirota bilinear method, sine-Gordon expansion method, generalized auxiliary equation method, Kudryashov method, and many more.

As a result of recent developments in fractional calculus applications, many researchers have become interested in this field. This Special Issue on “Recent Advances in Computational Physics with Fractional Application” is devoted to uncovering leading researchers’ recent work in the above fields of fractional calculus.

Dr. Lanre Akinyemi
Dr. Mostafa M. A. Khater
Dr. Mehmet Senol
Dr. Hadi Rezazadeh
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 papers will be 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 quarterly 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 1600 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.

• stability analysis
• integral equations
• semi-analytical method
• mathematical modeling
• traveling wave solutions
• analytical and numerical methods
• soliton theory and its applications
• fractional calculus and its applications
• ordinary and partial differential equations
• symmetry analysis and conservation laws
• mathematical modeling of flow in porous media
• high-order numerical differential formulas for the fractional derivatives
• numerical and computational methods in fractional differential equations