Positive solutions to mixed fractional p-Laplacian boundary value problems

• Autorzy: Guezane-Lakoud Assia , Rodríguez-López Rosana

Identyfikatory

DOI

10.1515/jaa-2021-2085

• Języki publikacji: EN

Abstrakty

EN

In this paper, we discuss the existence and uniqueness of a positive solution for a p-Laplacian differential equation containing left and right Caputo derivatives. By the help of the Guo-Krasnoselskii theorem, we prove the existence of at least one positive solution. The existence of a unique positive solution is established under the assumption that the corresponding operator is α-concave and increasing. Numerical examples are given to check the obtained results.

Słowa kluczowe

EN

fractional p-Laplacian; boundary value problem; existence of solutions; Guo-Krasnoselskii theorem

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 1
• Strony: 49--58
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Guezane-Lakoud Assia

• Department of Mathematics, Faculty of Sciences, Badji Mokhtar-Annaba University, P.O. Box 12, 23000 Annaba, Algeria

• https://orcid.org/0000-0002-5280-2633

autor

Rodríguez-López Rosana

• Instituto de Matemáticas, Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain

• https://orcid.org/0000-0001-5852-9845

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).