Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains

被引：21

作者：

Thabet, Sabri T. M. ^{[1
]}

Kedim, Imed ^{[2
]}

机构：

[1] Univ Lahej, Dept Math, Lahej, Yemen

[2] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

JOURNAL OF MATHEMATICS | 2023年 / 2023卷

关键词：

EXISTENCE;

D O I：

10.1155/2023/8668325

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to study the existence and uniqueness of the solution for nonlocal multiorder implicit differential equation involving Hilfer fractional derivative on unbounded domains a,infinity,a >= 0, in an applicable Banach space by utilizing the Banach contraction principle. Furthermore, we discuss various types of stability such as Ulam-Hyers-Rassias (UHR), Ulam-Hyers (UH), and semi-Ulam-Hyers-Rassias (sUHR) for nonlocal boundary value problem. Absolutely, our results cover that several outcomes have existed in the literature.

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页数：14

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