Results 1 to 10 of about 1,318 (279)
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
doaj +3 more sources
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
doaj +4 more sources
On some properties of the conformable fractional derivative [PDF]
Moroccan Journal of Pure and Applied Analysis, 2020 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.
Azennar Radouane, Mentagui Driss
doaj +2 more sources
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
doaj +3 more sources
Fractional Newton mechanics with conformable fractional derivative
Journal of Computational and Applied Mathematics, 2015 This paper studies fractional Newtonian mechanics with the tools of conformable fractional derivative and integral. This new fractional derivative is well-behaved and obeys the Leibniz and chain rules, an essential difference compared with the Riemann-Liouville and Caputo derivatives.
Won Sang Chung
exaly +3 more sources
Continuous grey model with conformable fractional derivative [PDF]
Chaos, Solitons and 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, Caixia Liu, Wen-Ze Wu
exaly +4 more sources
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
doaj +2 more sources
Numerical Solutions of Fractional Burgers’ Type Equations with Conformable Derivative
Chinese Journal of Physics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Senol +2 more
exaly +4 more sources
Identification of fractional Hammerstein systems with the conformable fractional derivative
International Journal of Adaptive Control and Signal ProcessingSummaryIn this article, we study parameter estimation problems for fractional commensurate Hammerstein systems utilizing the conformable fractional derivative. Two algorithms are investigated: first, the Poisson moment functions (PMF) method, aiming to transfer the fractional derivative of the measurement signal into PMF using the fractional Laplace ...
Wen Mi, Wei Xing Zheng
exaly +3 more sources
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
openaire +2 more sources