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Existence, uniqueness, and Hyers–Ulam stability of solutions to nonlinear p‐Laplacian singular delay fractional boundary value problems.

Authors :
Aslam, Muhammad
Gómez‐Aguilar, José Francisco
ur‐Rahman, Ghaus
Murtaza, Rashid
Source :
Mathematical Methods in the Applied Sciences. 5/15/2023, Vol. 46 Issue 7, p8193-8207. 15p.
Publication Year :
2023

Abstract

In this article, we study existence, uniqueness, and stability analysis in Hyer–Ulam settings of delay fractional differential equations with nonlinear singular p‐Laplacian operator ϕp. The fractional operators are taken in the Caputo sense. The fractional differential equation is converted into an integral form with the Green's theorem, also a fixed point approach is studied for this article. We include an example with specific parameter and assumptions to show the results of the proposal. Our results generalize some of the works in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
46
Issue :
7
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
163049421
Full Text :
https://doi.org/10.1002/mma.7608