Asymptotic stability of some equations

Document Type : Research Paper

Authors

1 Department of Mathematics and Applications, Facualty of Mathematical Sciences, University of Mohaghegh Ardabili, 56199-11367, Ardabil, Iran.

2 Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box 56199-11367, Ardabil, Iran

Abstract

In this paper, we investigate asymptotic stability of several integral and differential equations.

Keywords


[1] M. Abdolla Darwish and J. Henderson, Existence and asymptotic stability of solutions of a perturbed quadratic fractional integral equation, Fractional calculus and applied analysis, 12 (2009), 71–86.
[2] M. Derakhshan, M. Ahmadi Darani, A. Ansari and R. khoshsiar Ghaziani, Ulam-Hyers-Mittag-Leffler stability of fractional-order delay differential equations, J. Math, 63 (2014), 1181–1190.
[3] N. Dinh Cong, T. Son Doan, S. Siegmund and Hoang The Tuan, On asymptotic stability of Prabhakar fractional differential systems, Computational Methods for Differential Equations, 4 (2016), 276–284.
[4] N. Eghbali, V. Kalvandi and J. M. Rassias, A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation, Open Math, 14 (2016), 237–246.
[5] J. Wang and Y. Zhang, A class of nonlinear differential equations with fractional integrable impulses, ScienceDirect, 39 (2014), 3001–3010.
[6] J. Wang and Y. Zhang, Ulam-Hyers-Mittag-Leffler stability of fractional-order delay differential equations, J. Math, 63 (2014), 1181–1190.