Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative. (2nd December 2021)

• Record Type: Journal Article
• Authors: Hattaf, Khalid
• Other Names: Anwar Muhammad Shoaib Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-12-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/8608447
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper aims to study the stability of fractional differential equations involving the new generalized Hattaf fractional derivative which includes the most types of fractional derivatives with nonsingular kernels. The stability analysis is obtained by means of the Lyapunov direct method. First, some fundamental results and lemmas are established in order to achieve the goal of this study. Furthermore, the results related to exponential and Mittag–Leffler stability existing in recent studies are extended and generalized. Finally, illustrative examples are presented to show the applicability of our main results in some areas of science and engineering.