On Ulam-Hyers-Rassias stability of the boundary value problem of Hadamard fractional differential equations of variable order

被引：2
|
作者：
Bouazza, Zoubida [1 ]
Souid, Mohammed Said [2 ]
Rakocevic, Vladimir [3 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abb, Lab Math, s, Sidi Bel Abbes, Algeria
[2] Univ Tiaret, Dept Econ Sci, Tiaret, Algeria
[3] Univ Nis, Fac Sci & Math, Dept Math, Visegradska 33, Nish 18000, Serbia
来源：
AFRIKA MATEMATIKA | 2022年 / 33卷 / 01期
关键词：
Derivatives and integrals of variable-order; Boundary value problem; Piecewise constant functions; Fixed point theorem; Hadamard derivative; Green function; Ulam-Hyers-Rassias stability; UNIQUENESS; EXISTENCE;
D O I：
10.1007/s13370-022-00962-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the existence, uniqueness and stability of solutions to the boundary value problem of Hadamard fractional differential equations of variable order. Our results are based on two fixed point theorems and Ulam-Hyers-Rassias stability definition, and can be considered as a contribution to this emerging field.
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页数：17
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