Results 41 to 50 of about 1,318 (279)

Some Classical Properties of the New Conformable Fractional Derivative

open access: yes, 2022
Some research works dealing with fractional derivatives inspired us to work on this paper. In this paper, we prove some useful results using the definition of new Conformable Fractional Derivative given inAhmed Kajouni, Ahmed Chafiki, Khalid Hilal, and ...
Dr. Anita Dahiya, Nehaa
core   +1 more source

Generalized Hukuhara Conformable Fractional Derivative and its Application to Fuzzy Fractional Partial DifferentialEquations [PDF]

open access: yesSoft Computing, 2021
Abstract 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 fractional differentiability of the solution.
Manizheh Ghaffari   +3 more
openaire   +2 more sources

A new definition of conformable fractional derivative on arbitrary time scales

open access: yesAdvances in Difference Equations, 2019
In this paper, a new kind of conformable fractional derivative on arbitrary time scales is introduced. The basic conformable derivative rules are proved.
Mohamad Rafi Segi Rahmat
doaj   +1 more source

Consensus of Multiagent Systems Described by Various Noninteger Derivatives

open access: yesComplexity, 2019
In this paper, we unify and extend recent developments in Lyapunov stability theory to present techniques to determine the asymptotic stability of six types of fractional dynamical systems.
G. Nava-Antonio   +4 more
doaj   +1 more source

Effective Approach to Construct Series Solutions for Uncertain Fractional Differential Equations

open access: yesFuzzy Information and Engineering, 2022
Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an [Formula: see text]-level depiction in the sense of strongly generalized [Formula: see text]-fuzzy ...
Zeyad Al-Zhour   +5 more
doaj   +1 more source

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

open access: yes, 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   +3 more
core   +1 more source

On the Controllability of Conformable Fractional Deterministic Control Systems in Finite Dimensional Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2020
In this paper, we establish a set of convenient conditions of controllability for semilinear fractional finite dimensional control systems involving conformable fractional derivative.
Maher Jneid, Muath Awadalla
doaj   +1 more source

Fractional calculus in data fitting

open access: yesAlexandria Engineering Journal, 2020
This paper investigates the role of fractional calculus in data fitting. We show that while the Caputo and Atangana-Baleanu fractional derivatives can be applied successfully in data fitting, this might not be true for the conformable derivative.
N.H. Can, H. Jafari, M.N. Ncube
doaj   +1 more source

Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition

open access: yesComplexity, 2021
The Caputo conformable derivative is a new Caputo-type fractional differential operator generated by conformable derivatives. In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem
Zhongqi Peng   +3 more
doaj   +1 more source

Conformable Fractional Nikiforov-Uvarov Method

open access: yes, 2016
We introduce conformable fractional Nikiforov-Uvarov (NU) method by means of conformable fractional derivative which is the most natural definition in non-integer calculus.
Buyukkihc, F., Demirhan, D., Karayer, H.
core   +2 more sources

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