Title of article :
MITTAG-LEFFLER-HYERS-ULAM STABILITY OF LINEAR DIFFERENTIAL EQUATIONS OF SECOND ORDER
Author/Authors :
Kalvandi, V. University of Mohaghegh Ardabili , eghbali, n University of Mohaghegh Ardabili , Michael Rassias, J University of Athens
Abstract :
In this paper, we have presented and studied the Mittag-Leffler-Hyers-Ulam stability of a fractional differential equation of second order. Wehave proved that the differential equation y′′ +y′ +y = 0 is Mittag-Leffler-Hyers-Ulam stable. Then we consider the stability of Lane-Emden equationas an important equation of second order.
Keywords :
Fractional order differential equation , Mittag- Leffler-Hyers-Ulam stability , Lane-Emden equation
Journal title :
Astroparticle Physics