A Short Note On Lyapunov-Type Inequalities For Hilfer Fractional Boundary Value Problems

被引：0
|
作者：
Jonnalagadda, Jagan Mohan [1 ]
机构：
[1] Birla Inst Technol & Sci Pilani, Dept Math, Hyderabad 500078, Telangana, India
来源：
APPLIED MATHEMATICS E-NOTES | 2024年 / 24卷
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with fractional boundary value problems involving the Hilfer fractional differential operator of order 1 < alpha < 2 and type 0 <= beta <= 1. We derive the corresponding Lyapunov-type inequalities for two prominent classes of Hilfer fractional boundary value problems (HFBVPs) involving separated and anti-periodic boundary conditions. For this purpose, we construct the associated Green's functions and deduce their important properties.
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页码：35 / 45
页数：11
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