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Electrical Circuits Described by General Fractional Conformable Derivative

open access: yesFrontiers in Energy Research, 2022
The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other fractional derivative definitions, this derivative presents a generalization of the conformable derivative and follows the same derivation formulae.
Omar Kahouli   +8 more
openaire   +3 more sources

Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative [PDF]

open access: goldUniverse, 2020
We study a quantization via fractional derivative of a nonminimal derivative coupling cosmological theory, namely, the Fab Four John theory. Its Hamiltonian version presents the issue of fractional powers in the momenta. That problem is solved here by the application of the so-called conformable fractional derivative.
Isaac Torres   +3 more
openaire   +8 more sources

Exploration of anomalous transport based on the use of general conformable fractional derivative in tokamak plasmas [PDF]

open access: goldAIP Advances
This study investigates anomalous transport in tokamak plasmas by employing general conformable fractional derivatives (GCFDs) and utilizing general conformable fractional diffusion equations (GCFDEs).
K. Wu   +5 more
openalex   +2 more sources

Newton’s law of cooling with fractional conformable derivative [PDF]

open access: goldRevista Mexicana de Física, 2018
The fractional conformable derivative and its properties have been introduced recently. Using this derivative we obtain a new class of smooth solutions for the Newton’s law of cooling in terms of a stretched exponential function depending on the fractional order parameter 0 < γ ≤ 1.
J. J. Rosales, Abraham Ortega
openaire   +3 more sources

Khalil Conformable fractional derivative and its applications to population growth and body cooling models

open access: yesSelecciones Matemáticas, 2022
The objective of this article is to develop some results on conformable fractional derivatives, specifically the one known as Khalil’s conformable fractional derivative.
Jaime David Villacís Lascano   +1 more
doaj   +2 more sources

A new definition of conformable fractional derivative on arbitrary time scales [PDF]

open access: goldAdvances in Difference Equations, 2019
In this paper, a new kind of conformable fractional derivative on arbitrary time scales is introduced. The basic conformable derivative rules are proved.
Mohamad Rafi Segi Rahmat
doaj   +2 more sources

Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative

open access: diamondCubo (Temuco)
The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives.
Tatyana A. Komleva   +2 more
openalex   +3 more sources

New solutions of the fractional Boussinesq-like equations by means of conformable derivatives

open access: goldResults in Physics, 2019
In this paper, the process of the extended direct algebraic method (EDAM) is used to solve two fractional Boussinesq-like equations by means of conformable derivatives. Firstly, these fractional equations are changed into the ordinary differential equations by using the traveling wave transformation. Then new solutions are obtained by using EDAM.
Korpınar, Z.   +4 more
openaire   +6 more sources

On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative [PDF]

open access: goldAdvances in Differential Equations, 2021
In the work (Bouaouid et al. in Adv. Differ. Equ. 2019:21, 2019), the authors have used the Krasnoselskii fixed point theorem for showing the existence of mild solutions of an abstract class of conformable fractional differential equations of the form ...
Mustapha Atraoui, Mohamed Bouaouid
openalex   +2 more sources

A class of nonlocal impulsive differential equations with conformable fractional derivative

open access: diamondCubo (Temuco), 2022
In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative.
Mohamed Bouaouid   +3 more
openalex   +3 more sources

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