Analysis and Applications of Fractional Calculus in Computational Physics

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

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