Existence results for convection‐reaction fractional problem involving the distributional Riesz derivative

Abstract

The main goal of this manuscript is to study the existence results in the Bessel Potential space for the following convection‐reaction fractional problem involving by distributional Riesz fractional derivative, where is a bounded open set with a Lipschitz boundary, and . To reach our goal, we use the application of the Schauder fixed point theory with some assumption on the nonlinear terms and .