A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

Abstract

An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation. We study both of the Hyers–Ulam stability (HUS) and ML–Hyers–Ulam–Rassias stability (ML-HURS) in detail for our proposed differential equation (DEq). Our proposed technique unifies various differential equations’ classes. Therefore, this technique can be further applied in future research works with applications to science and engineering.

Keywords

• stability
• quadratic fractional integral equation
• mittag-leffler function
• 45m10
• 65p40
• 65l20
• 70h14