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Fuzzy Generalized Conformable Fractional Derivative [PDF]
Advances in Fuzzy Systems, 2020 We give a new definition of fuzzy fractional derivative called fuzzy conformable fractional derivative. Using this definition, we prove some results and we introduce new definition of generalized fuzzy conformable fractional derivative.
Atimad Harir +2 more
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Electrical Circuits Described by General Fractional Conformable Derivative
Frontiers in Energy Research, 2022 The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other fractional derivative definitions, this derivative presents a generalization of the conformable derivative ...
Omar Kahouli +8 more
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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.
Sumeyra Uçar +1 more
exaly +4 more sources
New properties of conformable derivative
Open Mathematics, 2015 Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems.
Atangana Abdon +2 more
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Conformable advection-dispersion models for radioactive waste migration: Robin-type condition and moment analysis [PDF]
Scientific ReportsWithin the framework of the conformable fractional-order derivative, conformable advection-dispersion models (CADMs) with Robin-type boundary conditions and different source terms are proposed to describe radioactive waste migration. Analytical solutions
Qing Wei, Shuai Yang, Senlin Xie
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Conformational chirality of sulfonylpyrimidine derivatives [PDF]
Acta Crystallographica Section A Foundations of Crystallography, 2004 The title compounds belong to a novel series of pyrimidine nucleobase derivatives possessing a sulfonamide pharmacophore. Some of them exhibit significant anticancer activity in vitro.[1] As the part of the overall structural examination, the crystal structures of 1-tosylthymine (1) and 1-tosyluracil (2) are presented.
Višnjevac, Aleksandar +3 more
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Derivative-Free Conformable Iterative Methods for Solving Nonlinear Equations
Fractal and Fractional, 2023 In this manuscript, we use approximations of conformable derivatives for designing iterative methods to solve nonlinear algebraic or trascendental equations.
Giro Candelario +3 more
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A New Conformable Fractional Derivative and Applications [PDF]
International Journal of Differential Equations, 2021 This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition
Ahmed Kajounı +3 more
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Journal of Function Spaces, 2020 In this paper, we made improvement on the conformable fractional derivative. Compared to the original one, the improved conformable fractional derivative can be a better replacement of the classical Riemann-Liouville and Caputo fractional derivative in ...
Feng Gao, Chunmei Chi
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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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