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Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer

Journal of Engineering Mechanics - ASCE, 2017
Dumitru Baleanu   +2 more
exaly   +2 more sources

On the derivations‎, ‎generalized derivations and ternary derivations of degree $n$

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
‎In this paper‎, ‎we introduce the concepts of derivation of degree $n$‎, ‎generalized derivation of degree $n$ and ternary derivation of degree $n$‎, ‎where $n$ is a positive integer‎, ‎and then we study algebraic properties of these mappings‎. ‎For instance‎, ‎we study the image of derivations of degree $n$ on algebras and in this regard we prove ...
Amin Hosseini   +1 more
openaire   +1 more source

A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

, 2020
In this research, we aim to propose a new fractional model for human liver involving Caputo–Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using the Picard–Lindelof approach ...
D. Baleanu   +3 more
semanticscholar   +1 more source

On the ψ-Hilfer fractional derivative

Communications in nonlinear science & numerical simulation, 2017
In this paper we introduce a new fractional derivative with respect to another function the so-called $\psi$-Hilfer fractional derivative. We discuss some properties and important results of the fractional calculus.
J. Sousa, E. C. Oliveira
semanticscholar   +1 more source

SIR epidemic model with Mittag–Leffler fractional derivative

, 2020
The SIR epidemic model with delay in the context of the fractional derivative with Mittag–Leffler kernel has been considered. The Atangana–Baleanu fractional derivative is a non-singular fractional derivative with Mittag–Leffler kernel. The positivity of
N. Sene
semanticscholar   +1 more source

Conformable derivative approach to anomalous diffusion

Physica A: Statistical Mechanics and Its Applications, 2018
H W Zhou
exaly   +2 more sources

Deriving derivatives of derivative securities

The Journal of Computational Finance, 2000
We use various techniques to simplify the derivations of "greeks" of path-independent claims in the Black-Merton-Scholes model. We first interpret delta, gamma, speed, and other higher order spatial derivatives of these claims as the values of certain quantoed contingent claims.
openaire   +1 more source

Derived Varieties and Derived Equational Theories

International Journal of Algebra and Computation, 1998
This paper describes a derivation process for varieties and equational theories using the theory of hypersubstitutions and M-hyperidentities. A hypersubstitution σ of type τ is a map which takes each n-ary operation symbol of the type to an n-ary term of this type.
Denecke, Klaus-Dieter   +2 more
openaire   +3 more sources

A new definition of fractional derivative

International Journal of Non-Linear Mechanics, 2019
In this paper, a new fractional derivative of the Caputo type is proposed and some basic properties are studied. The form of the definition shows that the new derivative is the natural extension of the Caputo one, and that it yields the Caputo derivative
Zhibao Zheng, Wei Zhao, H. Dai
semanticscholar   +1 more source

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