Stability of nonlinear Volterra integro-differential equations with Caputo fractional derivative and bounded delays
We use Lyapunov functions to study stability of the first-order Volterra integro-differential equation with Caputo fractional derivative $$ {}_{t_0}^{C}D^{q}_tx(t) =-a(t)f(x(t)) +\int_{t-r}^tB(t,s)g(s,x(s))ds+h(t,x(t),x(t-\tau(t))) \,. $$ For the Lyapunov functions, we consider three types o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/30/abstr.html |