Fractional Integral Inequalities and Their Applications to Degenerate Differential Equations with the Caputo Fractional Derivative

Abstract

We provide some new integral inequalities with the Caputo fractional derivative and consider degenerate ODEs with the Caputo derivative and a fractional diffusion equation as application. Also, we prove the existence and uniqueness theorems of generalized solutions under certain conditions.

Identifiers

DOI

10.1134/s0037446620020032

Citations and references