Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order

被引：22
|
作者：
Hristova, Snezhana [1 ]
Benkerrouche, Amar [2 ]
Souid, Mohammed Said [3 ]
Hakem, Ali [2 ]
机构：
[1] Paisij Hilendarski Univ Plovdiv, Fac Math & Informat, Plovdiv 4000, Bulgaria
[2] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, Sidi Bel Abbes 22000, Algeria
[3] Univ Tiaret, Dept Econ Sci, Tiaret 14000, Algeria
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 05期
关键词：
derivatives and integrals of variable order; boundary value problem; measure of noncompactness; Ulam– Hyers– Rassias stability; Hadamard derivative; HYERS-RASSIAS STABILITY; EXISTENCE; SYMMETRY;
D O I：
10.3390/sym13050896
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A boundary value problem for Hadamard fractional differential equations of variable order is studied. Note the symmetry of a transformation of a system of differential equations is connected with the locally solvability which is the same as the existence of solutions. It leads to the necessity of obtaining existence criteria for a boundary value problem for Hadamard fractional differential equations of variable order. Also, the stability in the sense of Ulam-Hyers-Rassias is investigated. The results are obtained based on the Kuratowski measure of noncompactness. An example illustrates the validity of the observed results.
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页数：16
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