A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation

Authors

• Mohammed K. A. Kaabar
• Vida Kalvandi
• Nasrin Eghbali
• Mohammad Esmael Samei
• Zailan SiriFollow
• Francisco Martinez

Document Type

Article

Publication Date

1-1-2021

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. © 2021 Mohammed K. A. Kaabar et al., published by De Gruyter.

Keywords

Stability, Quadratic fractional integral equation, Mittag-Leffler function

Publication Title

Nonlinear Engineering

Recommended Citation

Kaabar, Mohammed K. A.; Kalvandi, Vida; Eghbali, Nasrin; Samei, Mohammad Esmael; Siri, Zailan; and Martinez, Francisco, "A generalized ML-Hyers-Ulam stability of quadratic fractional integral equation" (2021). Research Publications (2021 to 2025). 9824.
https://knova.um.edu.my/research_publications_2021_2025/9824

Divisions

Science

Volume

10

Issue

1

Publisher

DeGruyter, Poland