Variational approach for 𝜓-Hilfer fractional operator

Autores

  • José Vanterler da Costa Sousa Center for Mathematics, Computing and Cognition UFABC

Palavras-chave:

𝜓-Hilfer fractional operator, variational approach, 𝜓-fractional spaces.

Resumo

In this work, we aim to present properties that characterize a variational structure in the 𝜓-fractional space Hp𝛼,𝛽;𝜓(Ω) for the 𝜓-Hilfer fractional operator. The importance of these results are strongly used in the investigation of fractional differential equations involving problems such as: 𝑝-Laplacian, concaveconvex, singular double phases, among others.

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Publicado

28-09-2022

Como Citar

SOUSA, J. V. da C. Variational approach for 𝜓-Hilfer fractional operator. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/329. Acesso em: 23 dez. 2024.