Theorems on certain fractional functional function and derivative
Other Title(s)
نظريات في الدوال الكسرية الخاصة مع المشتقات
Joint Authors
Zayn al-Abidin, Ahmad Amid
Abd al-Wahhab, Maha
Source
Engineering and Technology Journal
Issue
Vol. 30, Issue 2 (31 Jan. 2012), pp.261-264, 4 p.
Publisher
Publication Date
2012-01-31
Country of Publication
Iraq
No. of Pages
4
Main Subjects
Abstract AR
الهدف الرئيسي في هذا البحث هو برهان صحة العلاقة IXa-α IXaα hα (X) = hα (x) for all x(a,b], 0 a 1 بعد أن نبرهن استمرارية الدالة hα (x) = 〖μ(x-a)〗^(1-α)/(T(α)) + 1/(T(α)) ∫▒〖(x-t)α-1 f(g(t) )dt〗 في الفترة (a,∞) حيث أن |h(x)| ≤ M و (MR+, M > 0) لكل x(a,∞) >.
Abstract EN
The aim of this paper is to prove the correctness of the relation I-a I aha (x) = h a (x) for all x e (a, b], 0 < a < 1, after we prove the continuity of the fractional function = (u (x-a)1-a )/(r (a)) + 1/(r (a)) (X – t) f a- 1 f (g(t) )dt in (a,oo), where |ha(x)| < M for all xe (a,oo) and (Me R+, M>0).
The aim of this paper is to prove the correctness of the relation I-a I aha (x) = h a (x) for all x e (a, b], 0 < a < 1, after we prove the continuity of the fractional function = (u (x-a)1-a )/(r (a)) + 1/(r (a)) (X – t) f a- 1 f (g(t) )dt in (a,oo), where |ha(x)| < M for all xe (a,oo) and (Me R+, M>0).
American Psychological Association (APA)
Zayn al-Abidin, Ahmad Amid& Abd al-Wahhab, Maha. 2012. Theorems on certain fractional functional function and derivative. Engineering and Technology Journal،Vol. 30, no. 2, pp.261-264.
https://search.emarefa.net/detail/BIM-297320
Modern Language Association (MLA)
Zayn al-Abidin, Ahmad Amid& Abd al-Wahhab, Maha. Theorems on certain fractional functional function and derivative. Engineering and Technology Journal Vol. 30, no. 2 (2012), pp.261-264.
https://search.emarefa.net/detail/BIM-297320
American Medical Association (AMA)
Zayn al-Abidin, Ahmad Amid& Abd al-Wahhab, Maha. Theorems on certain fractional functional function and derivative. Engineering and Technology Journal. 2012. Vol. 30, no. 2, pp.261-264.
https://search.emarefa.net/detail/BIM-297320
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 264
Record ID
BIM-297320
