Stability results of positive solutions for a system of ψ -Hilfer fractional differential equations

Mohammed A. Almalahi, Satish K. Panchal and Fahd Jarad

Chaos, Solitons & Fractals, 2021, vol. 147, issue C

Abstract: The major objective of this work is to investigate sufficient conditions of existence and uniqueness of positive solutions for a finite system of ψ-Hilfer fractional differential equations. The gained results are obtained by building the upper and lower control functions of the nonlinear expression with the help of fixed point theorems such as Banach and Schauder. Furthermore, we establish various kinds of Ulam stability results by applying the techniques of nonlinear functional analysis. A pertinent example is provided to corroboration of the results obtained.

Keywords: ψ-Hilfer FDEs; Boundary conditions; Control functions; Lower and upper solutions; Fixed point theorem (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S096007792100285X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:147:y:2021:i:c:s096007792100285x

DOI: 10.1016/j.chaos.2021.110931

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().