LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

• Autorzy: Khan Qasim , Khan Hassan , Kumam Poom , Tchier Fairouz , Singh Gurpreet

Identyfikatory

DOI

10.1515/dema-2023-0101

• Języki publikacji: EN

Abstrakty

EN

Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in modelling various complex phenomena. Because of the several applications of FPIDEs in applied sciences, mathematicians have taken a keen interest in developing and utilizing the various techniques for its solutions. In this context, the exact and analytical solutions are not very easy to investigate the solution of FPIDEs. In this article, a novel analytical approach that is known as the Laplace adomian decomposition method is implemented to calculate the solutions of FPIDEs. We obtain the approximate solution of the nonlinear FPIDEs. The results are discussed using graphs and tables. The graphs and tables have shown the greater accuracy of the suggested method compared to the extended cubic-B splice method. The accuracy of the suggested method is higher at all fractional orders of the derivatives. A sufficient degree of accuracy is achieved with fewer calculations with a simple procedure. The presented method requires no parametrization or discretization and, therefore, can be extended for the solutions of other nonlinear FPIDEs and their systems.

Słowa kluczowe

EN

approximate solution; Laplace transformation; adomian decomposition method; Caputo derivative operator; analytical method

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230101
• Opis fizyczny: Bibliogr. 56 poz., rys., tab.

Twórcy

autor

Khan Qasim

• Department of Mathematics and Information Technology, The Education University of Hong Kong, 10 Lo Ping Road, Tai Po, New Territories, Hong Kong

autor

Khan Hassan

• Department of Mathematics, Abdul Wali khan Uniuersity Mardan, Pakistan; Department of Mathematics, Near East University TRNC, Mersin 10, Turkey

autor

Kumam Poom

• Center of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
• Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

autor

Tchier Fairouz

• Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

autor

Singh Gurpreet

• School of Mathematical Sciences, Dublin City University, Dublin, Ireland

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).