Fractional calculus (FC) is an emerging field of mathematics in an applications points of view, and it is applicable for almost all branches of applied sciences. It deals with the investigation and application of integrals and derivatives of arbitrary order. The combination of generalized FC and special functions are used to obtain potential results in the field of applied mathematics.

Fractional differential equations appear more and more frequently for modelling of real systems in numerous fields of applied sciences. To describe upper and lower bounds to solutions of these fractional differential equations, one has to adopt the study of fractional integral inequalities (FII). Furthermore, FII widely used in the field of statistics, numerical quadrature etc. The supreme use of FII is in fractional boundary value problems to establish uniqueness of solutions. Therefore, in the literature, several researchers have addressed several generalizations of the various types of integral inequalities extensively.

The aim of this Special Issue is to collate both original research and review articles with a focus on the connection between special functions and inequalities via fractional calculus.

Potential topics include but are not limited to the following:

• Inequalities of generalised functions and extensions
• Fractional integral inequalities
• k-fractional integral inequalities
• q-inequalities via fractional calculus
• A connection between (p, q)-calculus and fractional calculus
• Nonlinear fractional differential equation and its applications
• Application of fractional calculus in applied science problems