Results 1 to 10 of about 414 (150)
A modification to the conformable fractional calculus with some applications
AEJ - Alexandria 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
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Some Hardy's inequalities on conformable fractional calculus
Demonstratio MathematicaIn this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
H M Rezk, Mohammed Kenawy, M Zakarya
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Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus [PDF]
Journal of Mathematics, 2021 The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus.
Francisco Martínez +3 more
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Generalizations of Hardy’s Type Inequalities via Conformable Calculus [PDF]
Symmetry, 2021 In this paper, we derive some new fractional extensions of Hardy’s type inequalities. The corresponding reverse relations are also obtained by using the conformable fractional calculus from which the classical integral inequalities are deduced as special cases at α=1.
H M Rezk +2 more
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Variational calculus with conformable fractional derivatives [PDF]
IEEE/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.
Delfim F M Torres, Matheus Lazo
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The Flaw in the Conformable Calculus: It is Conformable Because It isNot Fractional [PDF]
Fractional Calculus and Applied Analysis, 2019 We point out a major flaw in the conformable calculus. We demonstrate why it fails at defining a fractional derivative and where exactly these tempting conformability properties come from.
Ahmed A Abdelhakim
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Noninstantaneous impulsive inequalities via conformable fractional calculus [PDF]
Journal of Inequalities and Applications, 2018 We establish some new noninstantaneous impulsive inequalities using the conformable fractional calculus.
Surang Sitho +3 more
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On conformable fractional calculus
Journal of Computational and Applied Mathematics, 2015 Recently, the authors Khalil, R., Al Horani, M., Yousef. A. and Sababheh, M., in " A new Denition Of Fractional Derivative, J. Comput. Appl. Math. 264. pp. 6570, 2014. " introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative.
Thabet Abdeljawad
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Fractional Leindler’s Inequalities via Conformable Calculus
Symmetry, 2022 In this paper, some fractional Leindler and Hardy-type inequalities and their reversed will be proved by using integration by parts and Hölder inequality on conformable fractional calculus. As a special case, some classical integral inequalities will be obtained.
H M Rezk +2 more
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Classical Properties on Conformable Fractional Calculus [PDF]
Pure and Applied Mathematics Journal, 2019 Recently, a definition of fractional which refers to classical calculus form called conformable fractional calculus has been introduced. The main idea of the concept of conformable fractional calculus is how to determine the derivative and integral with fractional order either rational numbers or real numbers.
Musraini M. +3 more
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