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

Sabri T. M. Thabet, Imed Kedim and Ji Gao

Journal of Mathematics, 2023, vol. 2023, 1-14

Abstract: 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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8668325

DOI: 10.1155/2023/8668325

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