Solution techniques based on Adomian and modified Adomian Decomposition for nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type
Joint Authors
Ahmad, Mariwan R.
Hamah Salih, Shokhan A.
Ahmad, Shazad Shawqi
Source
Journal of Babylon University : Journal of Applied and Pure Sciences
Issue
Vol. 28, Issue 1 (31 Mar. 2020), pp.194-216, 23 p.
Publisher
Publication Date
2020-03-31
Country of Publication
Iraq
No. of Pages
23
Main Subjects
Abstract EN
This paper efficiently applies the Adomian Decomposition Method and Modified Adomian Decomposition Method as computational techniques to locate the semi-analytical solution or semiapproximate solution for the considered nonlinear Integro Differential Equations for the fractional-order (IFDE) of the Volterra-Hammerstein (V-H) type, in which the higher-multi fractional derivative is described in the Caputo sense.In this procedure, we radically change the IFDE’s of V-H type into some iterative algebraic equations and the solution of this equations is considered as the sum of the countless sequence of components typically converging to the solution based on the noise terms where a closed-form solution is not obtainable, a truncated number of terms is usually used for numerical purposes.Finally, examples are prepared to illustrate these considerations.
American Psychological Association (APA)
Hamah Salih, Shokhan A.& Ahmad, Mariwan R.& Ahmad, Shazad Shawqi. 2020. Solution techniques based on Adomian and modified Adomian Decomposition for nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 28, no. 1, pp.194-216.
https://search.emarefa.net/detail/BIM-1254560
Modern Language Association (MLA)
Hamah Salih, Shokhan A.…[et al.]. Solution techniques based on Adomian and modified Adomian Decomposition for nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 28, no. 1 (2020), pp.194-216.
https://search.emarefa.net/detail/BIM-1254560
American Medical Association (AMA)
Hamah Salih, Shokhan A.& Ahmad, Mariwan R.& Ahmad, Shazad Shawqi. Solution techniques based on Adomian and modified Adomian Decomposition for nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type. Journal of Babylon University : Journal of Applied and Pure Sciences. 2020. Vol. 28, no. 1, pp.194-216.
https://search.emarefa.net/detail/BIM-1254560
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 215-216
Record ID
BIM-1254560