New proofs of fractional derivatives of the exponential and trigonometric functions
Author
Source
Journal of al-Quds Open University for Research and Studies
Issue
Vol. 2008, Issue 14 (31 Oct. 2008), pp.9-21, 13 p.
Publisher
al-Quds Open University Deanship of Scientific Research and Graduate Studies
Publication Date
2008-10-31
Country of Publication
Palestine (West Bank)
No. of Pages
13
Main Subjects
Abstract AR
يهدف هذا البحث إلى تقديم برهان جديد للمشتقات الكسرية من قوة Aer لللإقترانات الأسية eλx و التي تساوي aλx λe و ذلك حسب تحريف المشتقات الكسرية الذي ذكر في [1].
كذلك قام تقديم برهان للمشقات الكسرية و الإقترانات المثلثلية cosx و sinx من قوة Aer و هي .cos^((a) ) (x)=cos(x+απ/2),〖sin〗^((a))=sin〖(x+〗 απ/2)
Abstract EN
In this paper a new proof of the well-known fact that the fractional derivative of eƛͯ of order aϵR is equal to ƛͯ e ƛͯ is given according to the mentioned definition [1].
Also, it is proved that sin (a)(x) = sin(x+ a π/2) & cos (a)(x) = cos (x+a π /2))
American Psychological Association (APA)
al-Ghrouz, Ibrahim Muhammad. 2008. New proofs of fractional derivatives of the exponential and trigonometric functions. Journal of al-Quds Open University for Research and Studies،Vol. 2008, no. 14, pp.9-21.
https://search.emarefa.net/detail/BIM-8464
Modern Language Association (MLA)
al-Ghrouz, Ibrahim Muhammad. New proofs of fractional derivatives of the exponential and trigonometric functions. Journal of al-Quds Open University for Research and Studies No. 14 (Oct. 2008), pp.9-21.
https://search.emarefa.net/detail/BIM-8464
American Medical Association (AMA)
al-Ghrouz, Ibrahim Muhammad. New proofs of fractional derivatives of the exponential and trigonometric functions. Journal of al-Quds Open University for Research and Studies. 2008. Vol. 2008, no. 14, pp.9-21.
https://search.emarefa.net/detail/BIM-8464
Data Type
Journal Articles
Language
English
Notes
Includes bibiographical references : p. 21
Record ID
BIM-8464
