On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach
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...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5544740 |
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| _version_ | 1832563376638656512 |
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| author | Fares Kamache Salah Mahmoud Boulaaras Rafik Guefaifia Nguyen Thanh Chung Bahri Belkacem Cherif Mohamed Abdalla |
| author_facet | Fares Kamache Salah Mahmoud Boulaaras Rafik Guefaifia Nguyen Thanh Chung Bahri Belkacem Cherif Mohamed Abdalla |
| author_sort | Fares Kamache |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a904d43924df4c62b662fc1c048dd997 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-a904d43924df4c62b662fc1c048dd9972025-02-03T01:20:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55447405544740On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational ApproachFares Kamache0Salah Mahmoud Boulaaras1Rafik Guefaifia2Nguyen Thanh Chung3Bahri Belkacem Cherif4Mohamed Abdalla5Laboratory of Mathematics, Informatics and Systems, Larbi Tebessi University, 12000 Tebessa, AlgeriaDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaLaboratory of Mathematics, Informatics and Systems, Larbi Tebessi University, 12000 Tebessa, AlgeriaDepartment of Mathematics, Quang Binh University, 312 Ly Thuong Kiet, Dong Hoi, Quang Binh, VietnamDepartment of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi ArabiaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaThis 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.http://dx.doi.org/10.1155/2021/5544740 |
| spellingShingle | Fares Kamache Salah Mahmoud Boulaaras Rafik Guefaifia Nguyen Thanh Chung Bahri Belkacem Cherif Mohamed Abdalla On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach Advances in Mathematical Physics |
| title | On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach |
| title_full | On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach |
| title_fullStr | On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach |
| title_full_unstemmed | On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach |
| title_short | On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach |
| title_sort | on existence of multiplicity of weak solutions for a new class of nonlinear fractional boundary value systems via variational approach |
| url | http://dx.doi.org/10.1155/2021/5544740 |
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