Laplace Adomian and Laplace modified Adomian decomposition methods for solving nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type
Other Title(s)
طرق لابلاس أدوميان ولابلاس أدوميان التحليلية المعدلة لحل المعادلات التفاضلية التكاملية غير الخطية من النوع فولتيرا-هامرشتاين
Joint Authors
Salih, Shukhan Ahmad Hammah
Ahmad, Mariwan R.
Ahmad, Shazad Shawqi
Source
Issue
Vol. 60, Issue 10 (31 Oct. 2019), pp.2207-2222, 16 p.
Publisher
University of Baghdad College of Science
Publication Date
2019-10-31
Country of Publication
Iraq
No. of Pages
16
Main Subjects
Abstract EN
In this work, we will combine the Laplace transform method with the Adomian decomposition method and modified Adomian decomposition method for semi-analytic treatments of the nonlinear integro-fractional differential equations of the Volterra-Hammerstein type with difference kernel and such a problem which the kernel has a first order simple degenerate kind which the higher-multi fractional derivative is described in the Caputo sense.
In these methods, the solution of a functional equation is considered as the sum of infinite series of components after applying the inverse of Laplace transformation usually converging to the solution, 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)
Ahmad, Shazad Shawqi& Salih, Shukhan Ahmad Hammah& Ahmad, Mariwan R.. 2019. Laplace Adomian and Laplace modified Adomian decomposition methods for solving nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type. Iraqi Journal of Science،Vol. 60, no. 10, pp.2207-2222.
https://search.emarefa.net/detail/BIM-969512
Modern Language Association (MLA)
Ahmad, Shazad Shawqi…[et al.]. Laplace Adomian and Laplace modified Adomian decomposition methods for solving nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type. Iraqi Journal of Science Vol. 60, no. 10 (2019), pp.2207-2222.
https://search.emarefa.net/detail/BIM-969512
American Medical Association (AMA)
Ahmad, Shazad Shawqi& Salih, Shukhan Ahmad Hammah& Ahmad, Mariwan R.. Laplace Adomian and Laplace modified Adomian decomposition methods for solving nonlinear Integro-fractional differential equations of the Volterra-Hammerstein type. Iraqi Journal of Science. 2019. Vol. 60, no. 10, pp.2207-2222.
https://search.emarefa.net/detail/BIM-969512
Data Type
Journal Articles
Language
English
Notes
Text in English ; abstracts in English and Arabic.
Record ID
BIM-969512