Snezhana Hristova, Cemil Tunc
We use Lyapunov functions to study stability of the first-order Volterra integro-differential equation with Caputo fractional derivative
For the Lyapunov functions, we consider three types of fractional derivatives. By means of these derivatives, we obtain new sufficient conditions for stability and uniformly stability of solutions We consider both constant and time variable bounded delays, and illustrated our results with an example.
Submitted January 6, 2019. Published February 19, 2019.
Math Subject Classifications: 26A33, 34A08, 34D20, 34K20.
Key Words: Fractional derivative; integro-differential equation; delay; Lyapunov functional; stability.
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| Snezhana Hristova |
Department of Applied Mathematics and Modeling
University of Plovdiv "Paisii Hilendarski"
4000 Plovdiv, Bulgaria
| Cemil Tunc |
Department of Mathematics, Faculty of Sciences
Van Yuzuncu Yil University
65080 Van, Turkey
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