TY - JOUR
T1 - Study of Nonlocal Multiorder Implicit Differential Equation Involving Hilfer Fractional Derivative on Unbounded Domains
AU - Thabet, Sabri T.M.
AU - Kedim, Imed
N1 - Publisher Copyright:
© 2023 Sabri T. M. Thabet and Imed Kedim.
PY - 2023
Y1 - 2023
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85153035473&partnerID=8YFLogxK
U2 - 10.1155/2023/8668325
DO - 10.1155/2023/8668325
M3 - Article
AN - SCOPUS:85153035473
SN - 2314-4629
VL - 2023
JO - Journal of Mathematics
JF - Journal of Mathematics
M1 - 8668325
ER -