On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach

Kamache, Fares and Boulaaras, Salah Mahmoud and Guefaifia, Rafik and Chung, Nguyen Thanh and Cherif, Bahri Belkacem and Abdalla, Mohamed and Hosseini, Kamyar (2021) On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach. Advances in Mathematical Physics, 2021. pp. 1-10. ISSN 1687-9120

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Abstract

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 ℝ3 and ℝ4 are given to illustrate the theoritical results.

Item Type: Article
Subjects: Impact Archive > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 08 Feb 2023 05:09
Last Modified: 14 Mar 2024 03:59
URI: http://research.sdpublishers.net/id/eprint/1412

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