Ulam Stability for Partial Fractional Differential Inclusions via Picard Operators Theory

Abstract

In the present paper, we investigate, using the Picard operator technique, some existence and Ulam type stability results for the Darboux problem associated to some partial fractional order differential inclusions.

Keywords

• fractional differential inclusion
• left-sided mixed riemann--liouville integral
• caputo fractional order derivative
• darboux problem
• multivalued weakly picard operator
• fixed point inclusion
• ulam-hyers stability