Título
On the sub-diffusion fractional initial value problem with time variable order
Año del Documento
2021-06-04
Documento Fuente
Advances in Nonlinear Analysis, june 2021,vol. 10, n. 1, 2021, p. 1301-1315.
Résumé
We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study an initial value problem with our time variable order fractional derivative and present a regularity result for it, and a study on the asymptotic behavior.
Palabras Clave
Fractional derivative; variable order; regularity; asymptotic behavior
Patrocinador
This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah,
under grant no. (RG-42-130-41). Ministerio de Economía y Competitividad under the Research Grant RTI2018-094569-B100
Propietario de los Derechos
Autores
Tipo de versión
info:eu-repo/semantics/publishedVersion
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