Results 251 to 260 of about 37,668 (284)
Conformable fractional derivative in commutative algebras [PDF]
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.
Vitalii Shpakivskyi
semanticscholar +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
General conformable fractional derivative and its physical interpretation
Calcolo, 2017Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this paper, we introduce a class of new fractional derivative named general conformable fractional derivative (GCFD) to describe the physical world. The GCFD is generalized from the concept of conformable fractional derivative (CFD) proposed by Khalil. We point out
Maokang Luo, Dazhi Zhao
openaire +3 more sources
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations (PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed. Three types of TFND partial differential equations are considered in the sense of CFD, which are the TFND Boussinesq, TFND Klein-Gordon, and TFND B(2, 1, 1) PDEs ...
Ahmad El-Ajou +4 more
openaire +4 more sources
In this paper, the time-fractional nonlinear dispersive (TFND) partial differential equations (PDEs) in the sense of conformable fractional derivative (CFD) are proposed and analyzed. Three types of TFND partial differential equations are considered in the sense of CFD, which are the TFND Boussinesq, TFND Klein-Gordon, and TFND B(2, 1, 1) PDEs ...
Ahmad El-Ajou +4 more
openaire +4 more sources
2023 International Conference on Fractional Differentiation and Its Applications (ICFDA), 2023
In this article, optical soliton solutions from the modified nonlinear Schrödinger equation with conformable fractional derivative have been obtaibed by applying the Kudryashov R function method.
Nilkanta Das, S. Ray
semanticscholar +1 more source
In this article, optical soliton solutions from the modified nonlinear Schrödinger equation with conformable fractional derivative have been obtaibed by applying the Kudryashov R function method.
Nilkanta Das, S. Ray
semanticscholar +1 more source
On Space-Fractional Diffusion Equations with Conformable Derivative
2021We study the generalized space fractional diffusion equation on bounded domain \(\varOmega \). The fractional derivative is considered in conformable sense. In particular, we extend and prove the maximum-minimum principle for the considered parabolic problem. Then, we show the use of this principle in the establishment of uniqueness of the solution and
Kamla Kant Mishra, Shruti Dubey
openaire +2 more sources
SIES Epidemic Model for Novel COVID-19 by Conformable Fractional Derivative
Social Science Research Network, 2022In this paper, we provide a SIES epidemic model for the spread of COVID-19 using the Conformable fractional derivative. The feasibility region of the system is investigated.
negar bakhshi, Fariba Maheri
semanticscholar +1 more source
On conformable fractional nabla-hukuhara derivative on time scales [PDF]
2017 International Conference on Fuzzy Theory and Its Applications (iFUZZY), 2017 We introduce and investigate the concept of conformable fractional Nabla-Hukuhara derivative of fuzzy-valued functions on time scales. By using the theory of time scales, we show some basic properties of conformable fractional Nabla-Hukuhara derivative. Our results extend and improve the related ones in [5,7,13].
Li Sun +4 more
openaire +1 more source
Electrical circuits described by fractional conformable derivative
International Journal of Circuit Theory and Applications, 2018SummaryIn the last 3 years, the fractional conformable derivative and its properties have been introduced. Unlike other definitions, this new fractional derivative is based on the basic limit definition of the derivative and satisfies the same formulas of derivation, such as product and quotient of 2 functions and the chain rule.
L. Martínez +3 more
openaire +2 more sources
Fractional convection-dispersion equation with conformable derivative approach
Chaos, Solitons & Fractals, 2020Abstract In this present work, a well-structured and limit-based derivative definition of fractional derivative term, known as conformable derivative, is employed to develop a local generalized form of time variable fractional convection-dispersion equation (FCDE).
Manish Chaudhary +2 more
openaire +2 more sources