Results 11 to 20 of about 1,726 (292)
Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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A Study on Existence and Controllability of Conformable Impulsive Equations
Axioms, 2023 We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems.
Nazim I. Mahmudov, Gülbahar Akgün
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$\alpha$-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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A modification to the conformable fractional calculus with some applications
Alexandria Engineering Journal, 2020 In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
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Complex conformable derivative
Arabian Journal of Geosciences, 2019 In this study, we introduce a new complex conformable derivative and integral with noninteger order α which coincides the classical complex derivative and integral for α = 1. We examine basic properties of these newly defined derivative and integral such as Cauchy-Riemann equations, conformability and fundamental theorem of complex conformable integral.
Uçar, Sümeyra +2 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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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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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.
Lazo, Matheus J., Torres, Delfim F. M.
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Conformal Triple Derivations and Triple Homomorphisms of Lie Conformal Algebras
Algebra Colloquium, 2023 Let [Formula: see text] be a finite Lie conformal algebra. We investigate the conformal derivation algebra [Formula: see text], conformal triple derivation algebra [Formula: see text] and generalized conformal triple derivation algebra [Formula: see text], focusing mainly on the connections among these derivation algebras.
Asif, Sania +3 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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