Laplace adomian decomposition and modify laplace adomian decomposition methods for solving linear volterraintegro-fractional differential equations with constant multi-time retarded delay
Joint Authors
Amin, Miran B. M.
Hamasalih, Shukhan A.
Ahmad, Shazad Shawqi
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 27, Issue 5 (31 Dec. 2019), pp.35-53, 19 p.
Publisher
Publication Date
2019-12-31
Country of Publication
Iraq
No. of Pages
19
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Abstract EN
In this work, we present Laplace transform with series Adomian decomposition and modify Adomian decomposition methods for the first time to solve linear Volterra integro-differential equations of the fractional order in Caputo sense with constant multi-time Retarded delay.
This method is primarily based on the elegant mixture of Laplace transform method, series expansion method and Adomian polynomial with modifications.
The proposed technique will transform the multi-term delay integro-fractional differential equations into some iterative algebraic equations, and it is capable of reducing computational analytical works where the kernel of difference and simple degenerate types.
Analytical examples are presented to illustrate the efficiency and accuracy of the proposed methods.
American Psychological Association (APA)
Ahmad, Shazad Shawqi& Amin, Miran B. M.& Hamasalih, Shukhan A.. 2019. Laplace adomian decomposition and modify laplace adomian decomposition methods for solving linear volterraintegro-fractional differential equations with constant multi-time retarded delay. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 27, no. 5, pp.35-53.
https://search.emarefa.net/detail/BIM-1315072
Modern Language Association (MLA)
Ahmad, Shazad Shawqi…[et al.]. Laplace adomian decomposition and modify laplace adomian decomposition methods for solving linear volterraintegro-fractional differential equations with constant multi-time retarded delay. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 27, no. 5 (2019), pp.35-53.
https://search.emarefa.net/detail/BIM-1315072
American Medical Association (AMA)
Ahmad, Shazad Shawqi& Amin, Miran B. M.& Hamasalih, Shukhan A.. Laplace adomian decomposition and modify laplace adomian decomposition methods for solving linear volterraintegro-fractional differential equations with constant multi-time retarded delay. Journal of Babylon University : Journal of Applied and Pure Sciences. 2019. Vol. 27, no. 5, pp.35-53.
https://search.emarefa.net/detail/BIM-1315072
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 52-53
Record ID
BIM-1315072