Existence of Ulam Stability for Iterative Fractional Differential Equations Based on Fractional Entropy

被引：29
作者：
Ibrahim, Rabha W. [1 ]
Jalab, Hamid A. [2 ]
机构：
[1] Univ Malaya, Inst Math Sci, Kuala Lumpur 50603, Malaysia
[2] Univ Malaya, Fac Comp Sci & Informat Technol, Kuala Lumpur 50603, Malaysia
来源：
ENTROPY | 2015年 / 17卷 / 05期
关键词：
fractional calculus; fractional differential equation; entropy solution;
D O I：
10.3390/e17053172
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this study, we introduce conditions for the existence of solutions for an iterative functional differential equation of fractional order. We prove that the solutions of the above class of fractional differential equations are bounded by Tsallis entropy. The method depends on the concept of Hyers-Ulam stability. The arbitrary order is suggested in the sense of Riemann-Liouville calculus.
引用
收藏
页码：3172 / 3181
页数：10
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