Integrated Resolving Functions for Equations with Gerasimov–Caputo Derivatives
Integrated Resolving Functions for Equations with Gerasimov–Caputo Derivatives
The concept of a β-integrated resolving function for a linear equation with a Gerasimov–Caputo fractional derivative is introduced into consideration. A number of properties of such functions are proved, and conditions for the solvability of the Cauchy problem to linear homogeneous and inhomogeneous equations are found in the case of …