[HTML][HTML] Conformable derivative: Application to non-Darcian flow in low-permeability porous media

S Yang, L Wang, S Zhang - Applied Mathematics Letters, 2018 - Elsevier
The conformable derivative is used to develop the Swartzendruber model for description of
non-Darcian flow in porous media. The proposed conformable Swartzendruber models are …

[PDF][PDF] Stability analysis of the generalized fractional differential equations with and without exogenous inputs

N Sene - J. Nonlinear Sci. Appl, 2019 - academia.edu
The stability conditions of the fractional differential equations described by the Caputo
generalized fractional derivative have been addressed. The generalized asymptotic stability …

[PDF][PDF] Global asymptotic stability of the fractional differential equations

N Sene - J. Nonlinear Sci. Appl, 2020 - academia.edu
In this note, we present a global asymptotic stability criterion for the fractional differential
equations in triangular form. We use the Caputo generalized fractional derivative in our …

Exponential stability of Hopfield neural networks with conformable fractional derivative

A Kütahyalıoglu, F Karakoç - Neurocomputing, 2021 - Elsevier
Exponential stability of Hopfield neural networks with conformable fractional derivative -
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Mathematical analysis and numerical simulation of the Ebola epidemic disease in the sense of conformable derivative

Z Hammouch, RRQ Rasul, A Ouakka… - Chaos, Solitons & …, 2022 - Elsevier
The aim of this paper is to construct and analyze a mathematical model for the response of T-
cytotoxic lymphocytes to the Ebola virus using the Herz-tuckwill model with nonlinear …

Consensus of linear conformable fractional order multi‐agent systems with impulsive control protocols

J Yang, M Fečkan, JR Wang - Asian Journal of Control, 2023 - Wiley Online Library
In this article, we study the impulsive consensus problem of linear multi‐agent systems
composed of α‐order conformable differential equations (α∈(0, 1]). Two cases of fixed and …

Stability of conformable linear infinite-dimensional systems

L Sadek - International Journal of Dynamics and Control, 2023 - Springer
The main purpose of this paper is to study the concepts of stability (α-exponentially stable,
asymptotically stable, weakly stable, and uniformly stable) of linear infinite-dimensional …

Exponential quasi-synchronization of conformable fractional-order complex dynamical networks

X Chu, L Xu, H Hu - Chaos, Solitons & Fractals, 2020 - Elsevier
This article concerns the global exponential quasi-synchronization issue of conformable
fractional-order complex dynamical networks (FCDNs) by periodically intermittent pinning …

Generalized Mittag-Leffler input stability of the fractional differential equations

N Sene, G Srivastava - Symmetry, 2019 - mdpi.com
The behavior of the analytical solutions of the fractional differential equation described by
the fractional order derivative operators is the main subject in many stability problems. In this …

[PDF][PDF] Solutions for some conformable differential equations

N Sene - Progr. Fract. Differ. Appl, 2018 - naturalspublishing.com
In recent work, the operator method and other methods have been introduced to solve the
sequential linear conformable differential equations with constant coefficients. This paper …