Results 11 to 20 of about 39,305 (332)

On some properties of the conformable fractional derivative [PDF]

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
doaj   +2 more sources

On Conformable, Riemann-Liouville, and Caputo fractional derivatives

Bulletin of Applied Mathematics and Mathematics Education, 2022
This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations of the solutions.
Bambang Hendriya Guswanto, Leony Rhesmafiski Andini, Triyani Triyani   +2 more
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Khalil Conformable fractional derivative and its applications to population growth and body cooling models

Selecciones Matemáticas, 2022
The objective of this article is to develop some results on conformable fractional derivatives, specifically the one known as Khalil’s conformable fractional derivative.
Jaime David Villacís Lascano, Miguel José Vivas-Cortez   +1 more
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Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative [PDF]

Advances in Difference Equations, 2018
In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional derivative.
Qinghua Feng, Fanwei Meng
doaj   +2 more sources

Analytic solutions for a modified fractional three wave interaction equations with conformable derivative by unified method

Alexandria Engineering Journal, 2020
The present work implements the unified method to a class of fractional partial differential systems corresponding to modified fractional three wave interaction equations (FTWIEs).
Adeeb G. Talafha, Sahar M. Alqaraleh, Mohammed Al-Smadi, Samir Hadid, Shaher Momani   +4 more
doaj   +2 more sources

A class of nonlocal impulsive differential equations with conformable fractional derivative

Cubo (Temuco), 2022
In this paper, we deal with the Duhamel formula, existence, uniqueness, and stability of mild solutions of a class of nonlocal impulsive differential equations with conformable fractional derivative.
Mohamed Bouaouid, Ahmed Kajounı, Khalid Hilal, Saïd Melliani   +3 more
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Identification of fractional Hammerstein systems with the conformable fractional derivative

International Journal of Adaptive Control and Signal Processing
In 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
Zhao Zhang, Wen Mi, W. Zheng
semanticscholar   +3 more sources

Taylor's formula and integral inequalities for conformable fractional derivatives [PDF]

, 2014
17 ...
Douglas R. Anderson
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Generalized Hukuhara conformable fractional derivative and its application to fuzzy fractional partial differential equations [PDF]

Soft Computing, 2021
The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable ...
M. Ghaffari, T. Allahviranloo, S. Abbasbandy, M. Azhini   +3 more
semanticscholar   +3 more sources

Conformable fractional derivative and its application to partial fractional derivatives

Journal of Mathematical and Computational Science, 2021

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