Fractional calculus, which is defined by the branch of calculus that generalizes the derivative of a function to non-integer order, is born in 1695 in a letter written by Gottfried Wilhelm Leibniz to Guillaume de l'Hôspital. Later, more great scientists contributed to the development of the field of fractional operators such as: Liouville, Riemann, and Laurent. Additionally, several theoretical studies on fractional calculus were reported in the 19th century.

In recent years, the area of Fractional Calculus received a huge interest from the scientific community especially mathematicians, physicians, and engineers. This interest is due to the usage of fractional calculus in the mathematical modeling of systems with memory effects. Consequently, the importance of fractional calculus appears in many applications in various fields such as biology, chemistry, networks, fractal geometry, fluid dynamics, control theory, medicine, and finance, etc. 

The main target of this special issue is to create a multidisciplinary forum of discussions on the most recent results in this field of research. More precisely, we will focus on recent advanced numerical studies on Fractional Differential. In addition, the well-developed analysis of existing numerical algorithms in terms of efficiency, applicability, convergence, stability and accuracy is of importance. A discussion of nontrivial numerical examples is encouraged.

Potential topics include, but are not limited to:

•     Numerical methods for Fractional differential equations.

•     Numerical methods for Fractional difference equations.

•     Numerical methods for Fractional integro-differential equations.

•     Mathematical control theory.

•     Any Related topics