Approximate solution of fractional integro-differential equations by using bernstein polynomials

Other Title(s)

الحل التقريبي للمعادلات التفاضلية-التكاملية ذات الرتب الكسورية باستخدام متعددات حدود برنشتاين

Joint Authors

Muhammad, Usamah Hamid
al-Tai, Sarmad A.

Source

Engineering and Technology Journal

Issue

Vol. 30, Issue 8 (31 Jan. 2012), pp.1362-1373, 12 p.

Publisher

University of Technology

Publication Date

2012-01-31

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث، يتم أستخدام متعددات حدود برنشتاين، لتقريب حل المعادلات التفاضلية-التكاملية ذات الرتب الكسورية، و التي اعتمد تعريف (كابوتو) فيها بالنسبة للمشتقة الكسورية، و تم تقديم أمثلة للتحقق من فعالية الاشتقاق المقترح، و الحلول التقريبية تضمن الدقة المطلوبة.

Abstract EN

In this paper, Bernstein piecewise polynomial is used to approximate the solution of the fractional integro-differential equations, in which the fractional derivative is described in the (Caputo) sense.

Examples are considered to verify the effectiveness of the proposed derivation, and the approximate solutions guarantee the desired accuracy.

American Psychological Association (APA)

Muhammad, Usamah Hamid& al-Tai, Sarmad A.. 2012. Approximate solution of fractional integro-differential equations by using bernstein polynomials. Engineering and Technology Journal،Vol. 30, no. 8, pp.1362-1373.
https://search.emarefa.net/detail/BIM-300925

Modern Language Association (MLA)

Muhammad, Usamah Hamid& al-Tai, Sarmad A.. Approximate solution of fractional integro-differential equations by using bernstein polynomials. Engineering and Technology Journal Vol. 30, no. 8 (2012), pp.1362-1373.
https://search.emarefa.net/detail/BIM-300925

American Medical Association (AMA)

Muhammad, Usamah Hamid& al-Tai, Sarmad A.. Approximate solution of fractional integro-differential equations by using bernstein polynomials. Engineering and Technology Journal. 2012. Vol. 30, no. 8, pp.1362-1373.
https://search.emarefa.net/detail/BIM-300925

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 1372-1373

Record ID

BIM-300925