Applications of fractional power series approach in solving fractional Volterra integro-differential equations

Saleh Alshammari, Mohammed Al-Smadi, Ishak Hashim, Mohd Almie Alias

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper is focused at constructing an analytic-numeric solution based on fractional power series expansion for the fractional integro-differential equations of Volterra type by using residual power series approach. This RPS method gives approximate solutions in convergent series formula with surely computable components. Illustrative numerical example is included to demonstrate efficiency, accuracy, and applicability of the RPS method. Numerical results obtained indicate that the exact solution in good agreement with approximate solutions.

Original languageEnglish
Title of host publication2018 UKM FST Postgraduate Colloquium
Subtitle of host publicationProceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium
EditorsNoor Hayati Ahmad Rasol, Kamarulzaman Ibrahim, Siti Aishah Hasbullah, Mohammad Hafizuddin Hj. Jumali, Nazlina Ibrahim, Marlia Mohd Hanafiah, Mohd Talib Latif
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735418431
DOIs
Publication statusPublished - 27 Jun 2019
Event2018 UKM FST Postgraduate Colloquium - Selangor, Malaysia
Duration: 4 Apr 20186 Apr 2018

Publication series

NameAIP Conference Proceedings
Volume2111
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2018 UKM FST Postgraduate Colloquium
CountryMalaysia
CitySelangor
Period4/4/186/4/18

Fingerprint

power series
differential equations
series expansion
methodology
method

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

Cite this

Alshammari, S., Al-Smadi, M., Hashim, I., & Alias, M. A. (2019). Applications of fractional power series approach in solving fractional Volterra integro-differential equations. In N. H. A. Rasol, K. Ibrahim, S. A. Hasbullah, M. H. H. Jumali, N. Ibrahim, M. M. Hanafiah, & M. T. Latif (Eds.), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium [020003] (AIP Conference Proceedings; Vol. 2111). American Institute of Physics Inc.. https://doi.org/10.1063/1.5111210

Applications of fractional power series approach in solving fractional Volterra integro-differential equations. / Alshammari, Saleh; Al-Smadi, Mohammed; Hashim, Ishak; Alias, Mohd Almie.

2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. ed. / Noor Hayati Ahmad Rasol; Kamarulzaman Ibrahim; Siti Aishah Hasbullah; Mohammad Hafizuddin Hj. Jumali; Nazlina Ibrahim; Marlia Mohd Hanafiah; Mohd Talib Latif. American Institute of Physics Inc., 2019. 020003 (AIP Conference Proceedings; Vol. 2111).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Alshammari, S, Al-Smadi, M, Hashim, I & Alias, MA 2019, Applications of fractional power series approach in solving fractional Volterra integro-differential equations. in NHA Rasol, K Ibrahim, SA Hasbullah, MHH Jumali, N Ibrahim, MM Hanafiah & MT Latif (eds), 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium., 020003, AIP Conference Proceedings, vol. 2111, American Institute of Physics Inc., 2018 UKM FST Postgraduate Colloquium, Selangor, Malaysia, 4/4/18. https://doi.org/10.1063/1.5111210
Alshammari S, Al-Smadi M, Hashim I, Alias MA. Applications of fractional power series approach in solving fractional Volterra integro-differential equations. In Rasol NHA, Ibrahim K, Hasbullah SA, Jumali MHH, Ibrahim N, Hanafiah MM, Latif MT, editors, 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. American Institute of Physics Inc. 2019. 020003. (AIP Conference Proceedings). https://doi.org/10.1063/1.5111210
Alshammari, Saleh ; Al-Smadi, Mohammed ; Hashim, Ishak ; Alias, Mohd Almie. / Applications of fractional power series approach in solving fractional Volterra integro-differential equations. 2018 UKM FST Postgraduate Colloquium: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2018 Postgraduate Colloquium. editor / Noor Hayati Ahmad Rasol ; Kamarulzaman Ibrahim ; Siti Aishah Hasbullah ; Mohammad Hafizuddin Hj. Jumali ; Nazlina Ibrahim ; Marlia Mohd Hanafiah ; Mohd Talib Latif. American Institute of Physics Inc., 2019. (AIP Conference Proceedings).
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