On the use of Mohand integral transform for solving fractional-order classical Caputo differential equations

• Autorzy: Qureshi Sania , Yusuf Abdullahi , Aziz Shaheen

Identyfikatory

DOI

10.17512/jamcm.2020.3.08

• Języki publikacji: EN

Abstrakty

EN

In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This transform technique has successfully been employed in existing literature to solve classical ordinary differential equations. Here, a few significant and practically-used differential equations of the fractional type, particularly related with kinetic reactions from chemical engineering, are under consideration for the possible outcomes via the Mohand integral transform. A new theorem has been proposed whose proof, provided in the present study, helped to get the exact solutions of the models under investigation. Upon comparison, the obtained results would agree with results produced by other existing well-known integral transforms including Laplace, Fourier, Mellin, Natural, Sumudu, Elzaki, Shehu and Aboodh.

Słowa kluczowe

EN

initial value problem; kinetic reaction; Riemann-Liouville integral

PL

transformata całkowa Mohanda; całka Mohanda; całka Riemanna-Liouville'a; reakcja kinetyczna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2020
• Tom: Vol. 19, nr 3
• Strony: 99--109
• Opis fizyczny: Bibliogr. 25 poz., tab.

Twórcy

autor

Qureshi Sania

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

autor

Yusuf Abdullahi

• Department of Computer Engineering, Biruni University Istanbul, Turkey
• Department of Mathematics, Federal University Dutse, Science Faculty, 7156 Jigawa, Nigeria

autor

Aziz Shaheen

• Department of Chemical Engineering, 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).