Extension of rate of change concept: From local to nonlocal operators with applications
Results in Physics, 2020 The concept of rate of change gave birth to numerous important theories and applications in mathematics, applied mathematics and other related academic disciplines.
Abdon Atangana
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Boundary Value Problems, 2022 In this paper, continuous cobweb models with a generalized Caputo derivative called Caputo–Katugampola are investigated for both supply and demand functions and their perturbations.
A. M. Nagy, S. Assidi, A. B. Makhlouf
semanticscholar +1 more source
Chaos on the Vallis Model for El Niño with Fractional Operators
Entropy, 2016 The Vallis model for El Niño is an important model describing a very interesting physical problem. The aim of this paper is to investigate and compare the models using both integer and non-integer order derivatives.
Badr Saad T. Alkahtani, Abdon Atangana
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Modeling blood alcohol concentration using fractional differential equations based on the ψ‐Caputo derivative [PDF]
Mathematical methods in the applied sciencesWe propose a novel dynamical model for blood alcohol concentration that incorporates ψ$$ \psi $$ ‐Caputo fractional derivatives. Using the generalized Laplace transform technique, we successfully derive an analytic solution for both the alcohol ...
O. Wanassi, Delfim F. M. Torres
semanticscholar +1 more source
Local density of Caputo-stationary functions in the space of smooth functions [PDF]
, 2016 We consider the Caputo fractional derivative and say that a function is Caputo-stationary if its Caputo derivative is zero. We then prove that any $C^k\big([0,1]\big)$ function can be approximated in $[0,1]$ by a a function that is Caputo-stationary in $[
Bucur, Claudia
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Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions [PDF]
Archives of Electrical Engineering, 2018 An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations.
Ewa Piotrowska
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Symmetry Analysis of Initial and Boundary Value Problems for Fractional Differential Equations in Caputo sense [PDF]
, 2019 In this work we study Lie symmetry analysis of initial and boundary value problems for partial differential equations (PDE) with Caputo fractional derivative.
Iskenderoglu, Gulistan, Kaya, Dogan
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Unexpected behavior of Caputo fractional derivative [PDF]
Computational and Applied Mathematics, 2016 This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed.
Kuroda, Lucas Kenjy Bazaglia +5 more
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Journal of Mathematics, 2020 This work is dedicated to the study of the relationship between altitude and barometric atmospheric pressure. There is a consistent literature on this relationship, out of which an ordinary differential equation with initial value problems is often used ...
Muath Awadalla +2 more
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Stability for generalized Caputo proportional fractional delay integro-differential equations
Boundary Value Problems, 2022 A scalar nonlinear integro-differential equation with time-variable and bounded delays and generalized Caputo proportional fractional derivative is considered. The main goal of this paper is to study the stability properties of the zero solution. Results
Martin Bohner, Snezhana Hristova
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