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

University of Babylon

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