Existencia de solución de un sistema ´ masa-resorte-amortiguado fraccionario vía la transformada de Laplace
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Date
2023
Authors
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Journal ISSN
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Publisher
Universidad Nacional de Trujillo
Abstract
En el presente trabajo se estudió la existencia de solución del sistema masa-resorte-amortiguado con derivada fraccionaria de Caputo, Esta investigación se realizó_x000D_
debido a que muchos modelos matem´aticos se est´an remodelando usando derivadas_x000D_
fraccionarias; para esta investigaci´on se us´o una metodolog´ıa cient´ıfica-descriptiva._x000D_
Haciendo uso de la transformada de Laplace en el sistema masa-resorte-amortiguado_x000D_
fraccionario se logró hallar su solución. Se obtuvo como conclusión principal que_x000D_
existe la solución de un sistema masa-resorte-amortiguado fraccionario vía_x000D_
transformada de Laplace
Description
In the present work, the existence of a solution of the mass-spring-damped_x000D_
system with Caputo’s fractional derivative was studied. This research was carried out_x000D_
because many mathematical models are being remodeled using fractional_x000D_
derivatives; For this research, a scientific-descriptive methodology was used. Making_x000D_
use of the Laplace transform in the fractional mass-spring-damped_x000D_
system, it was possible to find its solution. The main conclusion was obtained that_x000D_
there is a solution to a fractional mass-spring-damped system by means the Laplace_x000D_
transform
Keywords
Sistema masa-resorte-amortiguador, derivada fraccionaria de Caputo, Función de Mittag-Leffler