The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative
The Green's vector-function is introduced to solve the Cauchy problem for equations with right-hand side and initial condition possessing a fractional time derivative and generalized functions. By studying the properties of the adjoint Green's operators, the authors prove the existence and uniqueness of the solutions to the Cauchy problem.
scientific article; zbMATH DE number 6009098