Qualitative analysis of caputo fractional integro-differential equations with constant delays

• Published in: Computational & applied mathematics Vol. 40; no. 6
• Main Authors: Bohner, Martin, Tunç, Osman, Tunç, Cemil
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.09.2021; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied physics; Computational mathematics; Computational Mathematics and Numerical Analysis; Differential equations; Liapunov functions; Mathematical Applications in Computer Science; Mathematical Applications in the Physical Sciences; Mathematics; Mathematics and Statistics; Qualitative analysis; RLC circuits; Stability; Theorems; Caputo fractional Volterra integro-differential equation; Stability; Lyapunov–Razumikhin method; Mittag-Leffler stability; Boundedness; 45J05; Lyapunov function; 34D05; 34K20

In this paper, a nonlinear Volterra integro-differential equation with Caputo fractional derivative, multiple kernels, and multiple constant delays is considered. The aim of this paper is to investigate qualitative properties of solutions of this equation such as uniform stability, asymptotic stabil...