Results 251 to 260 of about 1,318 (279)
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Exponential stability of Hopfield neural networks with conformable fractional derivative
Neurocomputing, 2021Abstract A class of Hopfield neural networks with conformable fractional derivative is studied. Sufficient conditions are derived for the existence and uniqueness of the equilibrium point of the network. Moreover, by using a Lyapunov function exponential stability result is proved.
Fatma Karakoc
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Stability of a fractional advection–diffusion system with conformable derivative
Chaos, Solitons and Fractals, 2022Hassen Arfaoui +2 more
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Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative [PDF]
Chaos, Solitons and Fractals, 2019 In this paper, tumor-immune system interaction has been considered by two fractional order models. The first and the second model consist of system of fractional order differential equations with Caputo and conformable fractional derivative respectively.
Senol Kartal, Ercan Balcı
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Conformable fractional derivative in commutative algebras
Journal of Mathematical Sciences, 2023In this paper, an analog of the conformable fractional derivative is defined in an arbitrary finite-dimensional commutative associative algebra. Functions taking values in the indicated algebras and having derivatives in the sense of a conformable fractional derivative are called $\varphi$% -monogenic.
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Fractional conformable derivatives of Liouville–Caputo type with low-fractionality
Physica A: Statistical Mechanics and its Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morales-Delgado, V. F. +3 more
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On Space-Fractional Diffusion Equations with Conformable Derivative
2021We study the generalized space fractional diffusion equation on bounded domain \(\varOmega \). The fractional derivative is considered in conformable sense. In particular, we extend and prove the maximum-minimum principle for the considered parabolic problem. Then, we show the use of this principle in the establishment of uniqueness of the solution and
Kamla Kant Mishra, Shruti Dubey
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Didactic study of conformable fractional derivative
Journal of Interdisciplinary MathematicsThe objective of this paper is to propose a didactic study and the possibility of teaching the results of the conformable fractional derivative given by [7] and specifying the advantages and disadvantages of this concept.
Radouane Azennar, Khalid El Hajioui
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Fractional logistic models in the frame of fractional operators generated by conformable derivatives
Chaos, Solitons & Fractals, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thabet Abdeljawad +2 more
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Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations (PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed. Three types of TFND partial differential equations are considered in the sense of CFD, which are the TFND Boussinesq, TFND Klein-Gordon, and TFND B(2, 1, 1) PDEs ...
Ahmad El-Ajou +4 more
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In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations (PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed. Three types of TFND partial differential equations are considered in the sense of CFD, which are the TFND Boussinesq, TFND Klein-Gordon, and TFND B(2, 1, 1) PDEs ...
Ahmad El-Ajou +4 more
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New Properties for Conformable Fractional Derivative and Applications
Progress in Fractional Differentiation and ApplicationsThe fractional derivative (FD) has recently captured the minds of scientists. The most common are Riemann-Liouville (RL) and Caputo (C). These fractional derivatives have been used to successfully model many real-world problems due to their physical properties.
Sadek, Lakhlifa, Akgül, Ali
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