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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
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On continuity properties of the improved conformable fractional derivatives
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
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A NEW GENERAL CONFORMABLE FRACTIONAL DERIVATIVE AND SOME 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
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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
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A New conformable fractional derivative and applications
Vuk Stojiljković
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Variational calculus with conformable fractional derivatives [PDF]
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.
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A Study on Existence and Controllability of Conformable Impulsive Equations
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
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A modification to the conformable fractional calculus with some applications
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
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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
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