A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality

A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality

Abstract This paper aims to extend the Caputo–Atangana–Baleanu ( A B C $ABC$ ) and Riemann–Atangana–Baleanu ( A B R $ABR$ ) fractional derivatives with respect to another function, from fractional order μ ∈ ( 0 , 1 ] $\mu \in (0,1]$ to an arbitrary order μ ∈ ( n , n + 1 ] $\mu \in (n,n+1]$ , n = 0 ,...

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Bibliographic Details
Main Authors: Thabet Abdeljawad, Sabri T. M. Thabet, Imed Kedim, M. Iadh Ayari, Aziz Khan
Format: Article
Language:English
Published: SpringerOpen 2023-04-01
Series:Boundary Value Problems
Subjects:
Fractional differential equations
Fractional calculus
Nonsingular fractional operators
Picard’s iterative method
Online Access:https://doi.org/10.1186/s13661-023-01736-z

Internet

https://doi.org/10.1186/s13661-023-01736-z

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