Solutions of dynamic fractional order differential algebraic equations system

Other Title(s)

حلول أنظمة المعادلات التفاضلية الجبرية الديناميكية ذات الرتب الكسرية

Author

Ahmad, Ala al-Din Nuri

Source

Engineering and Technology Journal

Issue

Vol. 29, Issue 3 (31 Dec. 2011), pp.613-624, 12 p.

Publisher

University of Technology

Publication Date

2011-12-31

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

Topics

Abstract AR

في هذا البحث، قدمنا نظرية الوجود و وحدانية الحل مع طريقتين لحل نظام من المعادلات التفاضلية الجبرية الديناميكية ذات الرتب الكسريه بالاعتماد على تعريف كراونوولد-ليتنكوف للتفاضلات ذات الرتب الكسريه.

في الطريقة الأولى، تم استخدام أسلوب التغاير بينما استخدمت الطريقة الثانية أسلوب الفروقات الكسرية.

و قد تم تقديم مثال اختباري لكل طريقة، لتوضيح خوارزمية كل طريقه.

Abstract EN

In this paper, we are presented the existence and uniqueness theorem, and two proposed methods, based on the theory of Gunwald-Letnikov fractional order derivative.

In the first method, the variational approach is implemented, while in the second method, the fractional difference approach is implemented.

Dynamic test example is presented to each proposed method, to demonstrate their computational algorithm.

American Psychological Association (APA)

Ahmad, Ala al-Din Nuri. 2011. Solutions of dynamic fractional order differential algebraic equations system. Engineering and Technology Journal،Vol. 29, no. 3, pp.613-624.
https://search.emarefa.net/detail/BIM-290014

Modern Language Association (MLA)

Ahmad, Ala al-Din Nuri. Solutions of dynamic fractional order differential algebraic equations system. Engineering and Technology Journal Vol. 29, no. 3 (2011), pp.613-624.
https://search.emarefa.net/detail/BIM-290014

American Medical Association (AMA)

Ahmad, Ala al-Din Nuri. Solutions of dynamic fractional order differential algebraic equations system. Engineering and Technology Journal. 2011. Vol. 29, no. 3, pp.613-624.
https://search.emarefa.net/detail/BIM-290014

Data Type

Journal Articles

Language

English

Notes

Includes appendices : p. 623-624

Record ID

BIM-290014