شماره ركورد كنفرانس :
3503
عنوان مقاله :
Mittag-Leffler-Hyers-Ulam stability for Cauchy fractional differential equation in the unit disk
Author/Authors :
N. Eghbali University of Mohaghegh Ardabili , V. Kalvandi University of Mohaghegh Ardabili
كليدواژه :
Mittag-Leffler-Hyers-Ulam stability , Fractional calculus , Cauchy fractional differential equation
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
In this talk, we prove the Mittag-Leffler-Hyers-Ulam stability of two different types of fractional
Cauchy problems involving the differential operator in the unit disk for the linear and
non-linear cases:
D α z u(z) = _(z)u(z)
and
D α z u(z) = f(z, u(z)).