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► Journal BrowserSpecial Issue "Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics"
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 15 August 2023 | Viewed by 3352
Special Issue Editors

Interests: numerical analysis; mathematical physics; partial differential equations; fractional calculus

Interests: partial differential equations; stochastic partial differential equations; regularity; ill-posed problem.
Special Issue Information
Dear Colleagues,
Nonlinear differential equations are generally used to create mathematical models of real-life problems and to obtain their solutions. Therefore, many researchers have achieved important results by developing new methods in terms of finding analytical, numerical and exact solutions to nonlinear differential equations. In these studies, the nonlinear differential equations generally discussed include integer and fractional derivatives.
The aim of this Special Issue is to construct and apply analytical, numerical and exact methods for approaching nonlinear differential equations which have applications in the field of physics. In addition, this Special Issue will focus particularly on examining the physical behavior of the obtained results and analyzing them in detail.
Researchers are encouraged to introduce and discuss their new original papers on the solutions to nonlinear differential equations in engineering and applied science. Potential research topics include, but are not limited to, the following themes:
- Recent advances in fractional calculus
- Fractional calculus models in engineering and applied science
- Fractional differential and difference equations
- Functional fractional differential equations
- Computational methods for integer or fractional order PDEs in applied science
- Exact solutions to nonlinear physical problems
- Numerical methods for initial and boundary value problems
- Multiplicative differential equations and their applications
- Fuzzy differential equations and their applications
- Stochastic differential equations and their applications
Dr. Yusuf Gürefe
Prof. Dr. Nguyen Huy Tuan
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 1800 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.
Keywords
- fractional calculus
- special functions in fractional calculus
- mathematical modelling in physics
- nonlinear models in mathematical physics
- dynamics of physical systems
- numerical solutions
- exact solutions
- soliton theory
- computational physics
- multiplicative calculus
- fuzzy differential calculus
- stochastic differential equations