Torres Ledesma, César EnriqueCruz Palacios, José Gilmer3/22/20233/22/20232023https://hdl.handle.net/20.500.14414/16186In 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_ transformEn 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 Laplacespainfo:eu-repo/semantics/openAccessSistema masa-resorte-amortiguadorderivada fraccionaria de CaputoFunción de Mittag-Lefflerinfo:eu-repo/semantics/bachelorThesis