A study of Hilfer-Katugampola type pantograph equations with complex order

Abstract

This article deals with existence, uniqueness and Ulam–Hyers–Rassias stability solutions for complex order Hilfer-Katugampola type pantograph equations involving initial and nonlocal condition.

Keywords

• Fractional derivative
• Non-local condition
• Ulam–Hyers–Rassias stability
• Complex order