Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative
Keyword(s):
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.
2021 ◽
Vol 2021
◽
pp. 1-6
Stability analysis of multi-term fractional-differential equations with three fractional derivatives
2021 ◽
Vol 495
(2)
◽
pp. 124751
2018 ◽
Vol 13
(1)
◽
pp. 13
◽
2020 ◽
Vol 5
(1)
◽
pp. 171-188
◽