Fractional-order modeling in nuclear reactors

Espinosa-Paredes, Gilberto

doi:10.1016/b978-0-12-823665-9.00001-8

Cited by 2 publications

(2 citation statements)

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“…Some of the monographs included in the list provide myriad applications of fractional dynamic equations in various branches of science and engineering. See [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] for some more applications of fractional dynamic equations. Some of the references provided above have the numerical methods of computing the solution.…”

Section: Introductionmentioning

confidence: 99%

Series Solution Method for Solving Sequential Caputo Fractional Differential Equations

Vatsala,

Pageni

2023

AppliedMath

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Computing the solution of the Caputo fractional differential equation plays an important role in using the order of the fractional derivative as a parameter to enhance the model. In this work, we developed a power series solution method to solve a linear Caputo fractional differential equation of the order q,0<q<1, and this solution matches with the integer solution for q=1. In addition, we also developed a series solution method for a linear sequential Caputo fractional differential equation with constant coefficients of order 2q, which is sequential for order q with Caputo fractional initial conditions. The advantage of our method is that the fractional order q can be used as a parameter to enhance the mathematical model, compared with the integer model. The methods developed here, namely, the series solution method for solving Caputo fractional differential equations of constant coefficients, can be extended to Caputo sequential differential equation with variable coefficients, such as fractional Bessel’s equation with fractional initial conditions.

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Section: Introductionmentioning

confidence: 99%

Series Solution Method for Solving Sequential Caputo Fractional Differential Equations

Vatsala,

Pageni

2023

AppliedMath

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“…El inicio y evolución de los rectores BWR ha sido presentado en previos trabajos (e.g., Lahey y Moody, 1993;Kok, 2016;Fennern, 2018;Prieto-Guerrero y Espinosa-Paredes, 2019;Espinosa-Paredes, 2020). A continuación, se recoge lo más relevante con la idea de entender la naturaleza de las inestabilidades nucleares con acoplamiento termohidráulico.…”

Section: Introductionunclassified

Análisis de estabilidad no lineal en reactores BWR con efectos subdifusivos

Romero

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Fractional-order modeling in nuclear reactors

Cited by 2 publications

References 61 publications

Series Solution Method for Solving Sequential Caputo Fractional Differential Equations

Series Solution Method for Solving Sequential Caputo Fractional Differential Equations

Análisis de estabilidad no lineal en reactores BWR con efectos subdifusivos

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