Results 11 to 20 of about 534,989 (274)

Fractional Newton mechanics with conformable fractional derivative

Journal of Computational and Applied Mathematics, 2015
This paper studies fractional Newtonian mechanics with the tools of conformable fractional derivative and integral. This new fractional derivative is well-behaved and obeys the Leibniz and chain rules, an essential difference compared with the Riemann-Liouville and Caputo derivatives.
exaly   +3 more sources

Solutions of Conformable Fractional-Order SIR Epidemic Model

International Journal of Differential Equations, 2021
In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM ...
Atimad Harir, Said Malliani, Lalla Saadia Chandli   +2 more
doaj   +2 more sources

Symmetric Conformable Fractional Derivative of Complex Variables [PDF]

Mathematics, 2020
It is well known that the conformable and the symmetric differential operators have formulas in terms of the first derivative. In this document, we combine the two definitions to get the symmetric conformable derivative operator (SCDO). The purpose of this effort is to provide a study of SCDO connected with the geometric function theory.
Rabha W Ibrahim, Rafida M Elobaid, Suzan Obaiys   +2 more
exaly   +3 more sources

Identification of fractional Hammerstein systems with the conformable fractional derivative

International Journal of Adaptive Control and Signal Processing
SummaryIn this article, we study parameter estimation problems for fractional commensurate Hammerstein systems utilizing the conformable fractional derivative. Two algorithms are investigated: first, the Poisson moment functions (PMF) method, aiming to transfer the fractional derivative of the measurement signal into PMF using the fractional Laplace ...
Wei Xing Zheng, Wen Mi
exaly   +3 more sources

On continuity properties of the improved conformable fractional derivatives

Jurnal 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 ...
Hasanah, Dahliatul
openaire   +2 more sources

New theoretical results and applications on conformable fractional Natural transform

Ain Shams Engineering Journal, 2021
In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour, Nouf Al-Mutairi, Fatimah Alrawajeh, Raed Alkhasawneh   +3 more
doaj   +2 more sources

Numerical Solutions of Fractional Burgers’ Type Equations with Conformable Derivative

Chinese Journal of Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Orkun Tasbozan, Mehmet Senol, Ali Kurt   +2 more
exaly   +4 more sources

On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV System

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, generalized Hirota Satsuma coupled KdV system is solved with tanh method and q-Homotopy analysis method. New fractional derivative definition called “conformable fractional derivative” used in the solution procedure.
Çenesiz Yucel, Kurt Ali, Tasbozan Orkun
doaj   +2 more sources

Conformable advection-dispersion models for radioactive waste migration: Robin-type condition and moment analysis [PDF]

Scientific Reports
Within the framework of the conformable fractional-order derivative, conformable advection-dispersion models (CADMs) with Robin-type boundary conditions and different source terms are proposed to describe radioactive waste migration. Analytical solutions
Qing Wei, Shuai Yang, Senlin Xie
doaj   +2 more sources

Application of two different algorithms to the approximate long water wave equation with conformable fractional derivative

Arab Journal of Basic and Applied Sciences, 2018
The current paper devoted on two different methods to find the exact solutions with various forms including hyperbolic, trigonometric, rational and exponential functions of fractional differential equations systems with conformable farctional derivative.
Melike Kaplan, Arzu Akbulut
doaj   +3 more sources