Integral algebraic equations, weakly singular integral equations, singular integral equations of Cauchy type are completely different branch of singular integral equations. However, the singularities of their kernels are their common difficulties and problems. The system of integral algebraic equations has singularity in an open interval of the real or the complex fields. The other types of singular integral equations have singularity in discrete sets. The Abel’s integral equations are important weakly type singular integral equations. They have been studied in last two centuries. The fractional integrals or derivatives are also weakly singular integrals. In the last three decade, fractional (partial) deferential equations have been received more attention and applications. It seems that the results of weakly singular integral equations can be applied in the fractional differential equations and vice versa. The kernel of Cauchy type singular integral equations also is similar to the kernel of weakly singular integral equations but it has completely different analysis and applications. The aim of this special issue is to consider these topics in one issue.

Aims and scopes:
(1) Integral-Algebraic Equations
(2) Weakly Singular Integral Equations
(3) Abel Integral Equations
(3) Singular Integral Equations of Cauchy Type
(4) Fractional Differential Equations
(5) Fractional Partial Differential Equations