A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law

A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law

Abstract In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and Riemann–Liouville involving a new modified version of a generalized Mittag–Leffler function with three parameters, as well as their corresponding fractional...

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Bibliographic Details
Main Authors: Sabri T. M. Thabet, Thabet Abdeljawad, Imed Kedim, M. Iadh Ayari
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:Boundary Value Problems
Subjects:
Fractional operator with the generalized Mittag–Leffler kernels
Nonsingular kernel
Weighted generalized Laplace transform
Online Access:https://doi.org/10.1186/s13661-023-01790-7

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