Results 251 to 260 of about 1,624,926 (272)

Generalizing Averaging Techniques for Approximating Fractional Differential Equations With Caputo Derivative

Journal of Applied Mathematics
This work investigates the concept of numerically approximating fractional differential equations (FDEs) by using function average in an interval. First, the equivalent integral equation is obtained.
C. Nwaigwe, A. Atangana
semanticscholar   +1 more source

Differences between Riemann–Liouville and Caputo calculus definitions in analyzing fractional boost converter with discontinuous‐conduction‐mode operation

International Journal of Circuit Theory and Applications
SummaryFractional‐order calculus is an extension of the integer‐order calculus in that its order is not limited to integers but can be noninteger as well, thus making the application of fractional‐order calculus more flexible. It has been shown that actual reactive elements such as capacitors and inductors have fractional‐order properties and that the ...
Yanfeng Chen, Xin Wang, Bo Zhang 0011, Fan Xie 0002, Sheng Chen   +4 more
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How Does the Fractional Derivative Change the Complexity of the Caputo Standard Fractional Map

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
The impact of power-law memory on the dynamics of the Caputo standard fractional map is investigated in this paper. The definition of a complexity measure for the Caputo standard fractional map is introduced.
U. Orinaitė, I. Telksnienė, T. Telksnys, M. Ragulskis   +3 more
semanticscholar   +1 more source

Numerical solution by finite element method for time Caputo-Fabrizio fractional partial diffusion equation

Advanced Mathematical Models & Applications
The foundation of this study lies in the fractional order derivative definition pioneered by Caputo and Fabrizio, with distinct representations for temporal and spatial variables.
Boutiba Malika
semanticscholar   +1 more source

Chaotic dynamics and optimal therapeutic strategies for Caputo fractional tumor immune model in combination therapy.

Chaos
In this paper, a Caputo fractional tumor immune model of combination therapy is established. First, the stability and biological significance of each equilibrium point are analyzed, and it is demonstrated that chaos may arise under specific conditions ...
Jia Li, Xuewen Tan, Wanqin Wu, Xinzhi Liu   +3 more
semanticscholar   +1 more source

DEMONSTRATING NON-LINEAR RLC CIRCUIT EQUATION BY INVOLVING FRACTIONAL ADOMIAN DECOMPOSITION METHOD BY CAPUTO DEFINITION

Advanced Mathematical Models & Applications
This research displays nonlinear RLC circuit equation applying the fractional Adomian Decomposition Method (ADM) to investigate an approximate analytical solution. Where the fractional derivative described here as in the Caputo definition. The result behavior obtained by ADM is displayed graphically and numerically where it indicates a great consist ...
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The fractional moments of shifted power law distribution by Caputo definition

2022
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Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives

Waves in Random and Complex Media, 2023
Hamdy M Youssef, Alaa A El-Bary
exaly  

On Caputo-Hadamard uncertain fractional differential equations

Chaos, Solitons and Fractals, 2021
Yuanguo Zhu, Ziqiang Lu
exaly  

Differences between Riemann-Liouville and Caputo Fractional Calculus Definitions in Solving Fractional Boost Converter with DCM Operation

2023
Sheng Chen, Yanfeng Chen, Bo Zhang, Dongyuan Qiu, Fan Xie   +4 more
openaire   +1 more source