Khalid Hattaf – de nouvelles recherches associées

[HTML] Some New Inequalities and Extremal Solutions of a Caputo–Fabrizio Fractional Bagley–Torvik Differential Equation

H Xu, L Zhang, G Wang – Fractal and Fractional, 2022

This paper studies the existence of extremal solutions for a nonlinear boundary value
problem of Bagley–Torvik differential equations involving the Caputo–Fabrizio-type
fractional differential operator with a non-singular kernel. With the help of a new …

On differential equations involving the ψ ψ‐shifted fractional operators

M Benjemaa, F Jerbi – Mathematical Methods in the Applied Sciences

This paper is in concern with the study of differential problems involving the ψ ψ‐
shifted fractional derivatives, where ψ ψ is a scaling function. Such operators can be
thought of as a generalization of several fractional derivatives such as the classical …

On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations

KD Kucche, AD Mali, A Fernandez, HM Fahad – Chaos, Solitons & Fractals, 2022

We investigate the Hilfer-type operator within the topic of tempered fractional
calculus with respect to functions. This operator, the tempered Ψ-Hilfer derivative, is
defined for the first time here, and its fundamental properties are studied, such as …