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

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  • Sabri T. M. Thabet
  • Imed Kedim
  • Ji Gao

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.

Suggested Citation

  • Sabri T. M. Thabet & Imed Kedim & Ji Gao, 2023. "Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains," Journal of Mathematics, Hindawi, vol. 2023, pages 1-14, April.
    • Handle: RePEc:hin:jjmath:8668325
    DOI: 10.1155/2023/8668325
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