Deadline Date: 31 March 2027
Fractional calculus has emerged as a powerful mathematical framework for describing engineering systems characterized by memory effects, hereditary properties, anomalous diffusion, viscoelasticity, nonlocal transport, and multiscale dynamics. In many practical applications, classical integer-order models are insufficient because the current state of a system depends not only on local rates of change but also on its historical evolution.
This Special Issue aims to collect recent advances in fractional-order modelling, analysis, numerical computation, and engineering applications, with particular emphasis on variable-order fractional operators, fractional partial differential equations, nonlinear fractional dynamics, and robust computational methods.
Topics of interest include, but are not limited to:
Caputo, Riemann–Liouville, Hilfer, Caputo–Fabrizio, Atangana–Baleanu, distributed-order, and variable-order fractional models;
Fractional partial differential equations (PDEs) in diffusion, wave propagation, fluid mechanics, heat transfer, porous media, control systems, signal processing, biomechanics, and materials science;
Stability, bifurcation, and dynamical analysis of fractional systems;
Spectral, finite difference, finite element, meshless, and iterative numerical methods for fractional problems;
Inverse problems, parameter identification, and optimization techniques in fractional models;
Numerical validation and computational implementation of fractional engineering systems;
Fractional modelling and simulation for engineering design and multiscale applications.
The aim of this Special Issue is to provide a focused platform for high-quality contributions that bridge rigorous developments in fractional calculus with practical engineering applications, numerical simulation, computational design, and optimization.
Editorial board
