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- Title
On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach.
- Authors
Kamache, Fares; Boulaaras, Salah Mahmoud; Guefaifia, Rafik; Chung, Nguyen Thanh; Cherif, Bahri Belkacem; Abdalla, Mohamed
- 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 ℝ 3 and ℝ 4 are given to illustrate the theoritical results.
- Subjects
MULTIPLICITY (Mathematics); VARIATIONAL approach (Mathematics); RIGHTS
- Publication
Advances in Mathematical Physics, 2021, p1
- ISSN
1687-9120
- Publication type
Article
- DOI
10.1155/2021/5544740