Hadamard fractional integrals and derivatives with respect to functions

Authors

  • 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 ,

Keywords:

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

Abstract

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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Published

2022-09-28

Issue

v.22, n.2 - Edição Brazilian Symposium on Fractional Calculus – Set/2022

Section

Artigos de Pesquisa

License

Copyright (c) 2022 C.Q.D. - Revista Eletrônica Paulista de Matemática

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

PEROVANO, Ana Paula; SILVA, Fernando Santos. 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://revistas.bauru.unesp.br/index.php/revistacqd/article/view/313. Acesso em: 2 jun. 2026.

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