Manuscript Topics

In recent decades, there has been a proliferation of research in the field of Fractional Calculus, spanning from fundamental mathematical theory to its practical applications in real life. New definitions of fractional operators have been introduced, expanding the classical operators in one way or another. The fundamental characteristics of these new definitions have been extensively investigated, constituting an area of active research in mathematical analysis. Furthermore, systems involving equations with fractional order operators have been rigorously investigated from an analytical and numerical point of view, and many applications have been proposed in science and engineering.

The aim of this Special Issue is to provide a platform for researchers to disseminate original and high-quality research in the mathematical theory of Fractional Calculus, especially related to the problems of analysis, modeling and applications of fractional order equations. Potential topics include, but are not limited to:

• Fractional Calculus- new fractional definitions, their properties, and applications
• Fractional differential/difference equations and inclusions
• Fractional calculus models in science and engineering
• Numerical methods for fractional calculus
• Dynamical systems
• Optimization problems
• Convergence and stability analysis

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