Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/34318
Title: | Taylor’s formula for generalized weighted fractional derivatives with nonsingular kernels |
Author: | Zine, Houssine Lotfi, El Mehdi Torres, Delfim F. M. Yousfi, Noura |
Keywords: | Generalized weighted fractional derivatives Nonsingular kernels Taylor’s formula Mean value theorems |
Issue Date: | May-2022 |
Publisher: | MDPI |
Abstract: | We prove a new Taylor’s theorem for generalized weighted fractional calculus with nonsingular kernels. The proof is based on the establishment of new relations for nth-weighted generalized fractional integrals and derivatives. As an application, new mean value theorems for generalized weighted fractional operators are obtained. Direct corollaries allow one to obtain the recent Taylor’s and mean value theorems for Caputo–Fabrizio, Atangana–Baleanu–Caputo (ABC) and weighted ABC derivatives. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/34318 |
DOI: | 10.3390/axioms11050231 |
ISSN: | 2075-1680 |
Publisher Version: | https://doi.org/10.3390/axioms11050231 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[510]axioms-Zine_Lotfi_Torres_Yousfi.pdf | 282.62 kB | Adobe PDF | View/Open |
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