Results 21 to 30 of about 566,161 (272)

A New Conformable Fractional Derivative and Applications [PDF]

open access: yesInternational Journal of Differential Equations, 2021
This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition
Ahmed Kajounı   +3 more
openaire   +2 more sources

ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS [PDF]

open access: yes, 2019
In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain ...
Budak, HÜSEYİN   +2 more
core   +8 more sources

Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations [PDF]

open access: yes, 2023
[EN] In this manuscript, we use approximations of conformable derivatives for designing iterative methods to solve nonlinear algebraic or trascendental equations.
María P. Vassileva   +7 more
core   +1 more source

Comparative study of two techniques on some nonlinear problems based ussing conformable derivative

open access: yesNonlinear Engineering, 2020
In this paper, three eminent types of time-fractional nonlinear partial differential equations are considered, which are the fractional foam drainage equation, fractional Gardner equation, and fractional Fornberg–Whitham equation in the sense of ...
Zulfiqar Aniqa, Ahmad Jamshad
doaj   +1 more source

New optical quantum conformable fractional derivative for spherical electromagnetic tube

open access: yes, 2023
In this article, we propose to inspect conformable fractional derivative of the spherical spacelike magnetic curves in the 2-deSitter space. Also, we find the conformable fractional derivatives of Lorentz fields for spherical magnetic fields of the ...
Ozdemir, Hatice   +5 more
core   +1 more source

Mathematical Modeling of Coronavirus Dynamics with Conformable Derivative in Liouville–Caputo Sense

open access: yesJournal of Mathematics, 2022
Coronavirus has become a serious global phenomenon in recent times and has negative effects on the entire world economy. In this study, a fractional mathematical model formulated in fractional conformable derivative is studied.
Ebenezer Bonyah   +2 more
doaj   +1 more source

Generalized solitary wave solutions to the time fractional generalized Hirota-Satsuma coupled KdV via new definition for wave transformation

open access: yesJournal of Ocean Engineering and Science, 2019
In this paper, the (G′/G)-expansion method has been applied to explore new solitary wave solutions for the time fractional generalized Hirota-Satsuma coupled KdV (FGHSC KdV) system.
Hadi Rezazadeh   +3 more
doaj   +1 more source

Some Classical Properties of the New Conformable Fractional Derivative

open access: yes, 2022
Some research works dealing with fractional derivatives inspired us to work on this paper. In this paper, we prove some useful results using the definition of new Conformable Fractional Derivative given inAhmed Kajouni, Ahmed Chafiki, Khalid Hilal, and ...
Dr. Anita Dahiya, Nehaa
core   +1 more source

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   +1 more source

Conformable fractional-order derivative based adaptive FitzHugh-Nagumo neuron model

open access: yes, 2023
Various neuron models have been proposed and are extensively examined in the scientific literature. The FitzHugh-Nagumo neuron model is one of the most well-known and studied models.
Karakulak, Ertugrul, Ertuğrul Karakulak
core   +1 more source

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