Results 11 to 20 of about 566,161 (272)

On Conformable, Riemann-Liouville, and Caputo fractional derivatives [PDF]

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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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   +3 more sources

Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative

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
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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
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Solution of Non-homogeneous Linear Fractional Differential Equations Involving Conformable Fractional Derivatives [PDF]

Journal of Scientific Research, 2023
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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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
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Newton’s law of cooling with fractional conformable derivative

Revista Mexicana de Física, 2018
The fractional conformable derivative and its properties have been introduced recently. Using this derivative we obtain a new class of smooth solutions for the Newton’s law of cooling in terms of a stretched exponential function depending on the fractional order parameter 0 < γ ≤ 1.
Abraham Ortega, J. Juan Rosales
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Maximum Principle for the Space-Time Fractional Conformable Differential System Involving the Fractional Laplace Operator

Journal of Mathematics, 2020
In this paper, the authors consider a IBVP for the time-space fractional PDE with the fractional conformable derivative and the fractional Laplace operator. A fractional conformable extremum principle is presented and proved.
Tingting Guan, Guotao Wang
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Kamenev Type Oscillatory Criteria for Linear Conformable Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2019
Using integral average method and properties of conformable fractional derivative, new Kamenev type oscillation criteria are given firstly for conformable fractional differential equations, which improve known results in oscillation theory.
Jing Shao, Zhaowen Zheng
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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
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