Fox H-functions as exact solutions for Caputo type mass spring damper system under Sumudu transform

• Autorzy: Qureshi Sania

Identyfikatory

DOI

10.17512/jamcm.2021.1.08

• Języki publikacji: EN

Abstrakty

EN

Closed form solutions for mathematical systems are not easy to find in many cases. In particular, linear systems such as the population growth/decay model, RLC circuit, mixing problems in chemistry, first-order kinetic reactions, and mass spring damper system in mechanical and mechatronic engineering can be handled with tools available in theoretical study of linear systems. One such linear system has been investigated in the present research study. The second order linear ordinary differential equation called the mass spring damper system is explored under the Caputo type differential operator while using the Sumudu integral transform. The closed form solution has been found in terms of the Fox H-function wherein different aspects of the solution can be obtained with variation in α ∈ 2 (1;2] and β ∈ 2 (0;1]: The classical mass spring damper model is retrieved for α = β = 1:

Słowa kluczowe

EN

special functions; free damped oscillations; un-damped oscillations; driven force

PL

funkcje specjalne; operator Caputo; metoda transformacji Sumudu; transformacja całkowa Smudu; rachunek ułamkowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2021
• Tom: Vol. 20, nr 1
• Strony: 83--89
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Qureshi Sania

• Department of Basic Sciences and Related Studies Mehran University of Engineering and Technology Jamshoro 76062, Pakistan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).