Sequential Hilfer-Hadamard Fractional Three-Point Boundary Value Problems

被引：0

作者：

Tshering, Ugyen Samdrup ^{[1
]}

Thailert, Ekkarath ^{[1
,2
]}

Ntouyas, Sotiris K. ^{[3
,4
]}

Siriwat, Piyanuch ^{[5
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand

[3] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[4] King Abdulaziz Univ, Fac Sci, Dept Math, Nonlinear Anal & Appl Math NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia

[5] Mae Fah Luang Univ, Sch Math, Chiang Rai 57100, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2023年 / 21卷 / 03期

关键词：

fractional differential equations; Hilfer fractional derivative; Riemann-Liouville fractional derivative; Caputo fractional derivative; boundary value problems; existence and uniqueness; fixed point theory;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study existence and uniqueness of solutions for three-point boundary value problem for Hilfer-Hadamard sequential fractional differential equations, via standard fixed point theorems. The existence is proved by Schaefer and Krasnoselskii fixed point theorems as well and Leray-Schauder nonlinear alternative, while the existence and uniqueness by Banach contraction mapping principle. Illustrative examples are also discussed.

引用

页码：609 / 624

页数：16

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