Finite time Lipschitz stability for neutral Riemann–Liouville non-instantaneous impulsive fractional differential equations with supremum delay.

Autor:	Donchev, T., Hristova, S.
Předmět:	FRACTIONAL differential equations IMPULSIVE differential equations DELAY differential equations FINITE The
Zdroj:	AIP Conference Proceedings; 9/6/2022, Vol. 2505 Issue 1, p1-9, 9p
Abstrakt:	It this paper we study a system of nonlinear neutral fractional differential equations with Riemann-Liouville fractional derivatives and suppremum deay taken from both, the unknown function at the present time and the unknown function at the time delay and non-instantaneous impulses. We consider the case when the lower limit of the fractional derivative is changed at each stop point of the action of the impulses. In the case studied the solution has a singularity at the initial time and any stop time point of the impulses. This leads to an appropriate definition of both the initial condition and the non-instantaneous impulsive conditions. It is obtained the integral presentation of the solutions on a finite interval. Finite time Lipschitz stability is defined for the studied system and some sufficient conditions are obtained. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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