Bernoulli operational matrix of fractional derivative for solution of fractional di_erential equations
Joint Authors
Balqasim, Rashid
Amir, Abd al-Samad
Bukhari, Ahmad C.
Source
General Letters in Mathematics
Issue
Vol. 5, Issue 1 (31 Aug. 2018), pp.32-46, 15 p.
Publisher
Refaad Center for Studies and Research
Publication Date
2018-08-31
Country of Publication
Jordan
No. of Pages
15
Main Subjects
Abstract EN
The aim of this paper is to present a numerical method based on Bernoulli polynomials for numerical solutions of fractional di erential equations(FDEs).
The Bernoulli operational matrix of fractional derivatives[31] is derived and used together with tau and collocation methods to reduce the FDEs to a system of algebraic equations.
Hence, the solutions obtained using this method give good approximations.
Illustrative examples are included to demonstrate the validity and applicability of the proposed method.
American Psychological Association (APA)
Balqasim, Rashid& Bukhari, Ahmad C.& Amir, Abd al-Samad. 2018. Bernoulli operational matrix of fractional derivative for solution of fractional di_erential equations. General Letters in Mathematics،Vol. 5, no. 1, pp.32-46.
https://search.emarefa.net/detail/BIM-938166
Modern Language Association (MLA)
Bukhari, Ahmad C.…[et al.]. Bernoulli operational matrix of fractional derivative for solution of fractional di_erential equations. General Letters in Mathematics Vol. 5, no. 1 (Aug. 2018), pp.32-46.
https://search.emarefa.net/detail/BIM-938166
American Medical Association (AMA)
Balqasim, Rashid& Bukhari, Ahmad C.& Amir, Abd al-Samad. Bernoulli operational matrix of fractional derivative for solution of fractional di_erential equations. General Letters in Mathematics. 2018. Vol. 5, no. 1, pp.32-46.
https://search.emarefa.net/detail/BIM-938166
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 44-46
Record ID
BIM-938166