On exact solutions of a class of singular partial integro-differential equations (Q2026689)

In the modern theory of integro-differential equations, an important topic is the investigation of integro-differential equations with singular and super-singular coefficients. In this work the authors give an integral representation for a solution to a class of second-order partial integro-differential equations with singularities in the kernel. To get this important result, the authors introduce a new class of functions. They prove uniqueness results under suitable conditions and investigate the inverse operators too.