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A higher-order extension of Atangana–Baleanu fractional operators with respect to another function and a Gronwall-type inequality
T Abdeljawad, STM Thabet, I Kedim, MI Ayari… - Boundary Value …, 2023 - Springer
This paper aims to extend the Caputo–Atangana–Baleanu (ABC) and Riemann–Atangana–
Baleanu (ABR) fractional derivatives with respect to another function, from fractional order …
Baleanu (ABR) fractional derivatives with respect to another function, from fractional order …
Study of three-point impulsive boundary value problems governed by -Caputo fractional derivative
In this study, we investigate the existence and uniqueness of solutions for specific type of
three-point boundary value problems. These problems focus on nonlinear impulsive …
three-point boundary value problems. These problems focus on nonlinear impulsive …
A new weighted fractional operator with respect to another function via a new modified generalized Mittag–Leffler law
STM Thabet, T Abdeljawad, I Kedim, MI Ayari - Boundary Value Problems, 2023 - Springer
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 …
function are derived in the sense of Caputo and Riemann–Liouville involving a new …
An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions
STM Thabet, I Kedim - Journal of Inequalities and Applications, 2023 - Springer
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities
(LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola …
(LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola …
Analysis of existence, uniqueness, and stability for nonlinear fractional boundary value problems with novel integral boundary conditions
Fractional calculus has gained prominence recently due to its ability to model complex
systems with memory and non-local interactions. This study explores a nonlinear coupled …
systems with memory and non-local interactions. This study explores a nonlinear coupled …