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

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,∞,a≥0, in an applicable Banach space by utilizing the Banach contraction principle. Furthermore, we discuss vario...

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Bibliographic Details
Published inJournal of mathematics (Hidawi) Vol. 2023; pp. 1 - 14
Main Authors Thabet, Sabri T. M., Kedim, Imed
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2023
John Wiley & Sons, Inc
Wiley
Subjects
Banach spaces
Boundary value problems
Calculus
Differential equations
Domains
Mathematics
Theorems
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Summary: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,∞,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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2314-4629
2314-4785
DOI:10.1155/2023/8668325