Inequality criteria for existence of solutions to some fractional partial differential equations

摘要

This paper deals with two types of fractional partial differential equations. By using some facts on ordinary fractional differential equations, we prove the Lyapunov-type and the De La Vallee Poussin-type inequalities for considered problems. We illustrate our results through several examples. (C) 2019 The Author. Published by Elsevier Ltd.