Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay. (15th April 2022)

• Record Type: Journal Article
• Authors: Ben Makhlouf, Abdellatif; El-hady, El-sayed; Boulaaras, Salah; Mchiri, Lassaad
• Other Names: Nashine Hemant Kumar Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/8211420
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Differential equations with fractional derivative are being extensively used in the modelling of the transmission of many infective diseases like HIV, Ebola, and COVID-19. Analytical solutions are unreachable for a wide range of such kind of equations. Stability theory in the sense of Ulam is essential as it provides approximate analytical solutions. In this article, we utilize some fixed point theorem (FPT) to investigate the stability of fractional neutral integrodifferential equations with delay in the sense of Ulam-Hyers-Rassias (UHR). This work is a generalized version of recent interesting works. Finally, two examples are given to prove the applicability of our results.