Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions

M. H T Alshbool, A. S. Bataineh, Ishak Hashim, Osman Rasit Isik

Research output: Contribution to journal › Article

15 Citations (Scopus)

Abstract

An algorithm for approximating solutions to fractional differential equations (FDEs) in a modified new Bernstein polynomial basis is introduced. Writing. x→xα(0

Original languageEnglish
JournalJournal of King Saud University - Science
DOIs
Publication statusAccepted/In press - 20 Aug 2015

Fingerprint

Bernstein Function
Fractional Order Differential Equations
Operational Matrix
Polynomial Basis
Bernstein Polynomials
Fractional Differential Equation
Fractional

Keywords

  • Bernstein polynomials
  • Error analysis
  • Fractional differential equation

ASJC Scopus subject areas

  • General

Cite this

Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions. / Alshbool, M. H T; Bataineh, A. S.; Hashim, Ishak; Isik, Osman Rasit.

In: Journal of King Saud University - Science, 20.08.2015.

Research output: Contribution to journal › Article

Alshbool, MHT, Bataineh, AS, Hashim, I & Isik, OR 2015, 'Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions', Journal of King Saud University - Science. https://doi.org/10.1016/j.jksus.2015.11.004
Alshbool MHT, Bataineh AS, Hashim I, Isik OR. Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions. Journal of King Saud University - Science. 2015 Aug 20. https://doi.org/10.1016/j.jksus.2015.11.004
Alshbool, M. H T ; Bataineh, A. S. ; Hashim, Ishak ; Isik, Osman Rasit. / Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions. In: Journal of King Saud University - Science. 2015.
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