Hadamard fractional integrals and derivatives with respect to functions

Autores

  • Ana Paula Perovano UNESP-São Paulo State University, Rio Claro and State University of Southwest Bahia, Vitória da Conquista
  • Fernando Santos Silva State University of Southwest Bahia, Vitória da Conquista

Palavras-chave:

Generalized fractional integrals, Generalized Caputo-Hadamard fractional derivative, Generalized Laplace transform.

Resumo

In this article, we study generalized fractional derivatives and integrals that contain kernels a generalized logarithm depending on a positive continuous function increasing. We generalize the Laplace transform in order to be applicable for the generalized fractional integrals and derivatives.

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Publicado

28-09-2022

Como Citar

PEROVANO, A. P.; SILVA, F. S. Hadamard fractional integrals and derivatives with respect to functions. 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/313. Acesso em: 24 nov. 2024.