An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation
type: Item
instance of: scholarly article
title: An analysis on the positive solutions for a fractional configuration of the Caputo multiterm semilinear differential equation
zbMATH Open document ID: 1476.34077
DOI: 10.1155/2021/6022941
author: Sh. Rezapour
author: B. Azzaoui
author: Sina Etemad
author: Brahim Tellab
author: H. P. Masiha
published in: Journal of Function Spaces
publication date: 2021-08-25T00:00:00Z
review text: Summary: In this paper, we consider a multiterm semilinear fractional boundary value problem involving Caputo fractional derivatives and investigate the existence of positive solutions by terms of different given conditions. To do this, we first study the properties of Green's function, and then by defining two lower and upper control functions and using the wellknown Schauder's fixed-point theorem, we obtain the desired existence criteria. At the end of the paper, we provide a numerical example based on the given boundary value problem and obtain its upper and lower solutions, and finally, we compare these positive solutions with exact solution graphically.
Mathematics Subject Classification ID: 34B18
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 34B27
zbMATH DE Number: 7385297
Wikidata QID: Q115243670
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6022941
OpenAlex ID: W3177271122
cites work: Q5699297
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description: scientific article; zbMATH DE number 7385297