Numerical and Exact Methods for Nonlinear Differential Equations and Applications in Physics, 2nd Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 1 October 2025 | Viewed by 802
Special Issue Editor
Interests: numerical analysis; mathematical physics; partial differential equations; fractional calculus
Special Issues, Collections and Topics in MDPI journals
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 particularly focus 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
Guest Editor
Manuscript Submission Information
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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
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