A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

Abstract

In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.

Keywords

• fractional order delay integral equation
• mittag-leffler-hyers-ulam stability
• chebyshev norm
• bielecki norm
• 26a33
• 34d10
• 45n05