GENERALIZED ULAM-HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：77
|
作者：
Ibrahim, Rabha W. [1 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2012年 / 23卷 / 05期
关键词：
Analytic function; unit disk; Hyers-Ulam stability; admissible functions; fractional calculus; fractional differential equation; ANALYTIC-FUNCTIONS; OPERATOR; SUPERORDINATION; SUBORDINATION; EXISTENCE;
D O I：
10.1142/S0129167X12500565
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we consider the generalized Hyers-Ulam stability for fractional differential equations of the form: D-z(alpha) f (z) = G(f(z), z f' (z), z(2) f '' (z); z), 2 < alpha <= 3 in a complex Banach space. Furthermore, applications are illustrated.
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页数：9
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