On existence of multiplicity of weak solutions for a new class of nonlinear fractional boundary value systems via variational approach
type: Item
instance of: scholarly article
title: On existence of multiplicity of weak solutions for a new class of nonlinear fractional boundary value systems via variational approach
zbMATH Open document ID: 1482.34025
DOI: 10.1155/2021/5544740
author: Fares Kamache
author: Rafik Guefaifia
author: Nguyen Thanh Chung
author: Bahri Cherif
author: Mohamed Abdalla
author: Salah Boulaaras
published in: Advances in Mathematical Physics
publication date: 2021-11-17T00:00:00Z
review text: Summary: This paper deals with the existence of solutions for a new class of nonlinear fractional boundary value systems involving the left and right Riemann-Liouville fractional derivatives. More precisely, we establish the existence of at least three weak solutions for the problem using variational methods combined with the critical point theorem due to Bonano and Marano. In addition, some examples in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) are given to illustrate the theoritical results.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 7428564
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/5544740
OpenAlex ID: W3136691740
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description: scientific article