Analysis and Applications of Fractional Calculus in Computational Physics
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: 31 August 2025 | Viewed by 156
Special Issue Editors
Interests: fractional calculus; fractional operator; fractional-order and distributed order models; wave propagation; applied and computational mathematics; nonlinear dynamics; condensed matter physics; heat transfer; photothermal science; inverse problems; artificial intelligence; quantum transport
Special Issues, Collections and Topics in MDPI journals
Interests: quantum coherence phenomena; quantum biophysics; condensed matter physics;polaron theory; solitons; fractional-order models; fractional calculus
Special Issue Information
Dear Colleagues,
Fractional calculus is a powerful tool that enables more efficient modeling of physical processes in complex physical systems. It is used in the modeling of anomalous dissipative processes, describing physical systems with nonlinear behavior, modeling of electromagnetic field propagation in fractal and anisotropic media, consideration of memory effects in quantum mechanics, describing viscoelastic materials with fractional damping in classical mechanics, overcoming approximation of local equilibrium and locality in general in thermodynamics, etc.
The most commonly used definitions of fractional derivatives and integrals include the Riemann-Liouville and Caputo definitions. However, contemporary research and analysis of different physical models with complex initial and boundary conditions indicate the need to further develop and understand fractional operators. In addition, the analysis of fractional models often requires the development of specialized methods for solving fractional differential equations.
This Special Issue aims to present the advancement in the development of fractional operators and methods of solving fractional differential equations, as well as the novelty in applications of fractional calculus in various fields of physics.
Dr. Slobodanka Galovic
Dr. Dalibor Chevizovich
Guest Editors
Manuscript Submission Information
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Keywords
- fractional calculus in physics
- fractional operators
- integral transformations of irrational functions
- inverse Laplace transform of irrational functions
- time-delayed fractional models
- numerical methods in fractional problems
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