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Keywords = ψ-Hilfer Navier problem

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31 pages, 1283 KiB  
Article
A Study of ψ-Hilfer Fractional Boundary Value Problem via Nonlinear Integral Conditions Describing Navier Model
by Songkran Pleumpreedaporn, Weerawat Sudsutad, Chatthai Thaiprayoon, Juan E. Nápoles and Jutarat Kongson
Mathematics 2021, 9(24), 3292; https://doi.org/10.3390/math9243292 - 17 Dec 2021
Cited by 2 | Viewed by 2333
Abstract
This paper investigates existence, uniqueness, and Ulam’s stability results for a nonlinear implicit ψ-Hilfer FBVP describing Navier model with NIBCs. By Banach’s fixed point theorem, the unique property is established. Meanwhile, existence results are proved by using the fixed point theory [...] Read more.
This paper investigates existence, uniqueness, and Ulam’s stability results for a nonlinear implicit ψ-Hilfer FBVP describing Navier model with NIBCs. By Banach’s fixed point theorem, the unique property is established. Meanwhile, existence results are proved by using the fixed point theory of Leray-Schauder’s and Krasnoselskii’s types. In addition, Ulam’s stability results are analyzed. Furthermore, several instances are provided to demonstrate the efficacy of the main results. Full article
(This article belongs to the Special Issue Nonlinear Equations: Theory, Methods, and Applications II)
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