Mittag-Leffler-Hyers-Ulam stability of linear differential equations of second order. (English) Zbl 1462.34013
Summary: In this paper, we have presented and studied the Mittag-Leffler-Hyers-Ulam stability of a fractional differential equation of second order. We have proved that the differential equation \(y'' + \alpha y' + \beta{y} = 0\) is Mittag-Leffler-Hyers-Ulam stable. Then we consider the stability of Lane-Emden equationas an important equation of second order.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34D10 | Perturbations of ordinary differential equations |
| 34A30 | Linear ordinary differential equations and systems |
Keywords:
fractional order differential equation; Mittag-Leffler-Hyers-Ulam stability; Lane-Emden equationReferences:
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