Results 41 to 50 of about 566,161 (272)

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

Multi-variable conformable fractional calculus

open access: yes, 2018
Conformable fractional derivative is introduced by the authors Khalil et al. In this study we develop their concept and introduce multi-variable conformable derivative for a vector valued function with several ...
Uğur Gözütok   +3 more
core   +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

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

A Continuous Time Bertrand Duopoly Game With Fractional Delay and Conformable Derivative: Modeling, Discretization Process, Hopf Bifurcation, and Chaos

open access: yesFrontiers in Physics, 2019
The purpose of this paper is three-fold. First, we present a discretization process to obtain numerical solutions of a conformable fractional-order system with delays. Second, we extend the classical Bertrand duopoly game with integer delays to that with
Baogui Xin, Wei Peng, Luca Guerrini
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

Neurochemical Endpoints to Inform Early‐Stage Trials of Spinocerebellar Ataxia 2 and 3 in a Multisite Setting

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Neurochemical levels measured by brain MR spectroscopy (MRS) have been proposed as endpoints for clinical trials in early‐stage spinocerebellar ataxia (SCA) trials. We tested their trial‐readiness by quantifying neurochemicals in three affected brain regions in early‐stage cohorts of SCA2 and SCA3, examining their reproducibility in ...
James M. Joers   +19 more
wiley   +1 more source

Differential transform method for conformable fractional partial differential equations [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2019
We expand a new generalization of the two-dimensional differential trans form method. The new generalization is based on the two-dimensional differential transform method, fractional power series expansions, and conformable fractional derivative.
M. Eslami, S.A. Taleghani
doaj   +1 more source

Anticoagulation Treatment Response Among Phenotypic ESUS Clusters: Evidence From CASPR

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To evaluate treatment effect heterogeneity across phenotypic clusters of patients with cryptogenic embolic stroke using causal inference methods. Methods From a retrospective, multicenter cohort of patients with cryptogenic embolic stroke, we estimated the treatment effect of anticoagulation versus antiplatelet therapy in patients ...
Elena Badillo Goicoechea   +53 more
wiley   +1 more source

Diffusion Basis Spectrum Imaging of Tissue Microstructure and Early Treatment in Multiple Sclerosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Conventional MRI cannot resolve the coexisting pathological processes within multiple sclerosis tissue. Diffusion Basis Spectrum Imaging decomposes the diffusion signal into fiber, cell, and hindered ratios indexing axonal integrity, cellularity, and extracellular space, respectively.
Apisit Kaewsanit   +10 more
wiley   +1 more source

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