Electrical Circuits Described by General Fractional Conformable Derivative
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
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Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative [PDF]
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
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Exploration of anomalous transport based on the use of general conformable fractional derivative in tokamak plasmas [PDF]
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
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Newton’s law of cooling with fractional conformable derivative [PDF]
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
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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
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A new definition of conformable fractional derivative on arbitrary time scales [PDF]
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
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The article explores a linear set-valued differential equation featuring both conformable fractional and generalized conformable fractional derivatives.
Tatyana A. Komleva+2 more
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New solutions of the fractional Boussinesq-like equations by means of conformable derivatives
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
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On the existence of mild solutions for nonlocal differential equations of the second order with conformable fractional derivative [PDF]
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
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A class of nonlocal impulsive differential equations with conformable fractional derivative
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
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