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Application of Power Series Method for Solving Obstacle Problem of Fractional Order

  • Shatha Hasan
  • , Mohammed Al-Smadi
  • , Asad Freihet
  • , Omar Abu Arqub
  • , Marmon Abu Hammad
  • , Shaher Momani
  • Al-Balqa Applied University
  • University of Jordan
  • Al-Zaytoonah University of Jordan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

Abstract

An effective numerical method depends on the fractional power series is applied to solving a class of boundary value problems associated with obstacle, unilateral, and contact problems of fractional order 2\alpha, 0\lt \alpha\leq 1. The fractional derivative is considered in the Caputo sense. This method constructs a convergent sequence of approximate solutions for the obstacle problem. A numerical example is given to illustrate the higher accuracy of this technique.

Original languageEnglish
Title of host publication2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages513-518
Number of pages6
ISBN (Electronic)9781538679425
DOIs
StatePublished - 16 May 2019
Externally publishedYes
Event2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Amman, Jordan
Duration: 9 Apr 201911 Apr 2019

Publication series

Name2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019 - Proceedings

Conference

Conference2019 IEEE Jordan International Joint Conference on Electrical Engineering and Information Technology, JEEIT 2019
Country/TerritoryJordan
CityAmman
Period9/04/1911/04/19

Keywords

  • Boundary value problem
  • Caputo derivative
  • Fractional residual power series
  • Obstacle model

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