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Solution of Homogeneous Linear Fractional Differential Equations Involving Conformable Fractional Derivative [PDF]
Journal of Scientific Research, 2023 In this paper, we have found the solution of linear sequential fractional differential equations involving conformable fractional derivatives of order with constant coefficients.
Chandel, Jyotsna, TYAGI, ANUJ
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On some properties of the conformable fractional derivative [PDF]
Moroccan Journal of Pure and Applied Analysis, 2020 Abstract In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A. Yousef, M. Sababhehb [4].
Radouane Azennar, Driss Mentagui
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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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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 terms of physical meaning.
Feng Gao, Chunmei Chi
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Mathematical Modeling of Coronavirus Dynamics with Conformable Derivative in Liouville–Caputo Sense [PDF]
Journal of Mathematics, 2022 Coronavirus has become a serious global phenomenon in recent times and has negative effects on the entire world economy. In this study, a fractional mathematical model formulated in fractional conformable derivative is studied.
Bonyah, Ebenezer +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, and the mean value theorem. The definition
Ahmed Kajounı +3 more
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On Conformable, Riemann-Liouville, and Caputo fractional derivatives [PDF]
, 2022 This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations ...
Andini, Leony Rhesmafiski +2 more
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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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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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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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