$\alpha$-Differentiable functions in complex plane
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020 In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy–Riemann equations which in case of $\alpha=1$ give classical Cauchy ...
Ronak Pashaei +3 more
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The Differential Equations of Conformable Curve in IR^2
Cumhuriyet Science Journal, 2023 In this paper, we get some characterizations of conformable curve in R^2. We investigate the conformable curve in R^2. We define the tangent vector of the curve using the conformable derivative and the arc parameter s.
Şeyda Özel, Mehmet Bektaş
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Variational calculus with conformable fractional derivatives [PDF]
IEEE/CAA Journal of Automatica Sinica, 2017 This is a preprint of a paper whose final and definite form will appear in the IEEE/CAA Journal of Automatica Sinica, ISSN 2329-9266.
Matheus J. Lazo, Delfim F. M. Torres
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Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities
Axioms, 2022 In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation.
Jianwei Hao, Jinrong Wang, Jiangfeng Han
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Conformable fractional-order derivative based adaptive FitzHugh-Nagumo neuron model
, 2023 Various neuron models have been proposed and are extensively examined in the scientific literature. The FitzHugh-Nagumo neuron model is one of the most well-known and studied models.
Karakulak, Ertugrul, Ertuğrul Karakulak
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Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative. [PDF]
Sci RepThis study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise.
Murad MAS +6 more
europepmc +2 more sources
New optical quantum conformable fractional derivative for spherical electromagnetic tube
, 2023 In this article, we propose to inspect conformable fractional derivative of the spherical spacelike magnetic curves in the 2-deSitter space. Also, we find the conformable fractional derivatives of Lorentz fields for spherical magnetic fields of the ...
Ozdemir, Hatice +5 more
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A new definition of conformable fractional derivative on arbitrary time scales
Advances 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
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Modeling of pressure–volume controlled artificial respiration with local derivatives
Advances in Difference Equations, 2021 We attempt to motivate utilization of some local derivatives of arbitrary orders in clinical medicine. For this purpose, we provide two efficient solution methods for various problems that occur in nature by employing the local proportional derivative ...
Bahar Acay +3 more
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Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus
Journal of Mathematics, 2021 The conformable derivative and its properties have been recently introduced. In this research work, we propose and prove some new results on the conformable calculus.
Francisco Martínez +3 more
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