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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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Symmetric Conformable Fractional Derivative of Complex Variables [PDF]
Mathematics, 2020 It is well known that the conformable and the symmetric differential operators have formulas in terms of the first derivative. In this document, we combine the two definitions to get the symmetric conformable derivative operator (SCDO). The purpose of this effort is to provide a study of SCDO connected with the geometric function theory.
Rabha W. Ibrahim +2 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,
A. Kajounı +3 more
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On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative [PDF]
Demonstratio Mathematica, 2023 The fundamental objective of this article is to investigate about the boundary value problem with the uses of a generalized conformable fractional derivative introduced by Zarikaya et al. (On generalized the conformable calculus, TWMS J. App. Eng.
Miguel Vivas–Cortez +3 more
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Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations [PDF]
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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Continuous grey model with conformable fractional derivative [PDF]
Chaos, Solitons & Fractals, 2020 The existing fractional grey prediction models mainly use discrete fractional-order difference and accumulation, but in the actual modeling, continuous fractional-order calculus has been proved to have many excellent properties, such as hereditary. Now there are grey models established with continuous fractional-order calculus method, and they have ...
Wanli Xie +4 more
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Conformable fractional derivative in commutative algebras
Journal of Mathematical Sciences, 2023 In 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.
V. S. Shpakivskyi
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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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A new definition of conformable fractional derivative on arbitrary time scales [PDF]
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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Extracting the Ultimate New Soliton Solutions of Some Nonlinear Time Fractional PDEs via the Conformable Fractional Derivative [PDF]
Fractal and FractionalNonlinear fractional-order differential equations have an important role in various branches of applied science and fractional engineering. This research paper shows the practical application of three such fractional mathematical models, which are the ...
Md Ashik Iqbal +3 more
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