Results 21 to 30 of about 39,305 (332)

Motion equations and non-Noether symmetries of Lagrangian systems with conformable fractional derivative

open access: goldThermal Science, 2021
In this paper, we present the fractional motion equations and fractional non-Noether symmetries of Lagrangian systems with the conformable fractional derivatives.
Jing-Li Fu   +3 more
openalex   +3 more sources

On continuity properties of the improved conformable fractional derivatives

open access: diamondJurnal Fourier, 2022
The conformable fractional derivative has been introduced to extend the familiar limit definition of the classical derivative. Despite having many advantages compared to other fractional derivatives such as satisfying nice properties as classical derivative and easy to solve numerically, it also has disadvantages as it gives large error compared to ...
Dahliatul Hasanah
openalex   +3 more sources

A NEW GENERAL CONFORMABLE FRACTIONAL DERIVATIVE AND SOME APPLICATIONS

open access: yesJournal of Fractional Calculus and Applications
. This paper introduces a new local fractional derivative, called the M -conformable derivative. It is de  ned by the following formula:
Mohamed Dilmi, Mohamed Benallia
semanticscholar   +2 more sources

Series solutions for the Laguerre and Lane-Emden fractional differential equations in the sense of conformable fractional derivative

open access: goldAlexandria Engineering Journal, 2019
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformable ...
Zeyad Al-Zhour   +3 more
doaj   +2 more sources

Variational calculus with conformable fractional derivatives [PDF]

open access: yesIEEE/CAA Journal of Automatica Sinica, 2017
This is a preprint of a paper whose final and definite form will appear in the IEEE/CAA Journal of Automatica Sinica, ISSN 2329-9266.
Lazo, Matheus J., Torres, Delfim F. M.
openaire   +3 more sources

A Study on Existence and Controllability of Conformable Impulsive Equations

open access: yesAxioms, 2023
We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems.
Nazim I. Mahmudov, Gülbahar Akgün
doaj   +1 more source

A modification to the conformable fractional calculus with some applications

open access: yesAlexandria Engineering Journal, 2020
In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
doaj   +1 more source

Solution of Non-homogeneous Linear Fractional Differential Equations Involving Conformable Fractional Derivatives

open access: yesJournal of Scientific Research, 2023
This paper presents a method for solving non-homogeneous linear sequential fractional differential equations (NHLSFDEs) with constant coefficients involving conformable fractional derivatives. For this purpose, the fundamental properties of the conformable derivative and fractional exponential functions are discussed.
ANUJ TYAGI, Jyotsna Chandel
openaire   +1 more source

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