On Hyers-Ulam Stability for Fractional Differential Equations Including the New Caputo-Fabrizio Fractional Derivative

被引：16
|
作者：
Basci, Yasennn [1 ]
Ogrekci, Suleyman [2 ]
Misir, Adil [3 ]
机构：
[1] Abant Izzet Baysal Univ, Dept Math, Fac Arts & Sci, TR-14280 Bolu, Turkey
[2] Amasya Univ, Dept Math, Fac Arts & Sci, TR-05000 Amasya, Turkey
[3] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期
关键词：
Fractional differential equation; the new Caputo-Fabrizio fractional derivative; Hyers-Ulam stability; laplace transform; 1ST-ORDER;
D O I：
10.1007/s00009-019-1407-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the stability in the sense of Hyers-Ulam for the following fractional differential equations including the new Caputo-Fabrizio fractional derivative: CFD alpha y CFD alpha yx-lambda y (x) -.y (x) = f (x). Finally, two examples are given to illustrate our results.
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页数：14
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