Results 1 to 10 of about 141,207 (269)

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
exaly   +5 more sources

Some Hardy's Inequalities on Conformable Fractional Calculus

Demonstratio Mathematica
In this article, we will demonstrate some Hardy’s inequalities by utilizing Hölder inequality, integration by parts, and chain rule of the conformable fractional calculus.
Haytham M Rezk, Mohammed Kenawy, Ghada Alnemer   +2 more
exaly   +4 more sources

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, Inmaculada Martínez, Mohammed K. A. Kaabar, Silvestre Paredes   +3 more
doaj   +7 more sources

Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus

Mathematics, 2020
In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality on timescales we establish the main results.
Mohammed Kenawy, Ghada Alnemer, Mohammed Zakarya   +2 more
exaly   +4 more sources

Concept and application of interval-valued fractional conformable calculus

Alexandria Engineering Journal, 2022
This paper introduces a new concept of Caputo type interval-valued fractional conformable calculus. Based on this, some theorems and properties related to fractional conformable calculus are presented.
Lihong Zhang, Meihua Feng, Ravi P. Agarwal, Guotao Wang   +3 more
doaj   +2 more sources

Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems [PDF]

Scientific Reports
This study presents an analytical investigation of fractional reaction-diffusion systems within the framework of the conformable fractional operator. The conformable operator provides a simplified yet powerful mathematical tool for modeling fractional ...
Azzh Saad Alshehry, Rasool Shah, Aisha M. Alqahtani   +2 more
doaj   +2 more sources

On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative

Demonstratio Mathematica, 2023
The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS J. App. Eng.
Vivas-Cortez Miguel, Árciga Martin Patricio, Najera Juan Carlos, Hernández Jorge Eliecer   +3 more
doaj   +2 more sources

Inhomogeneous conformable abstract Cauchy problem

Open Mathematics, 2021
In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given.
Rabhi Lahcene, Al Horani Mohammed, Khalil Roshdi   +2 more
doaj   +1 more source

Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term

Journal of Mathematics, 2021
In this paper, interval oscillation criteria for the nonlinear damped dynamic equations with forcing terms on time scales within conformable fractional derivatives are established. Our approach is determined from the implementation of generalized Riccati
S. Manikandan, V. Muthulakshmi, S. Harikrishnan, Porpattama Hammachukiattikul   +3 more
doaj   +1 more source

Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

Advances in Difference Equations, 2019
We propose a new chaotic financial system by considering ethics involvement in a four-dimensional financial system with market confidence. We present a five-dimensional conformable derivative financial system by introducing conformable fractional ...
Baogui Xin, Wei Peng, Yekyung Kwon, Yanqin Liu   +3 more
doaj   +1 more source