A global existence and uniqueness theorem in the extended sense for ordinary differential equations of fractional order
Joint Authors
al-Abidin, Ahmad Z.
Tazali, M.
al-Btush, Ratib
Source
Issue
Vol. 9, Issue 2 (30 Apr. 2003), pp.181-185, 5 p.
Publisher
Al al-Bayt University Deanship of Academic Research and Graduate Studies
Publication Date
2003-04-30
Country of Publication
Jordan
No. of Pages
5
Main Subjects
Topics
Abstract EN
This research proves a global existence and uniqueness theorem by using the Banach contraction principle for the following initial-value problem : g() (x) = (x, g (x)) almost all x I.
With g(a-1) () = b ().
0<≤1.
Where I is any compact interval in the real line R containing the point .
g() is the derivative of order of a real-valued function g.
() is the Gamma function and b is a real number.
assuming weaker conditions (known as the Caratheodory conditions) on the function .
American Psychological Association (APA)
al-Abidin, Ahmad Z.& Tazali, M.& al-Btush, Ratib. 2003. A global existence and uniqueness theorem in the extended sense for ordinary differential equations of fractional order. Al-Manarah،Vol. 9, no. 2, pp.181-185.
https://search.emarefa.net/detail/BIM-169459
Modern Language Association (MLA)
al-Abidin, Ahmad Z.…[et al.]. A global existence and uniqueness theorem in the extended sense for ordinary differential equations of fractional order. Al-Manarah Vol. 9, no. 2 (Apr. 2003), pp.181-185.
https://search.emarefa.net/detail/BIM-169459
American Medical Association (AMA)
al-Abidin, Ahmad Z.& Tazali, M.& al-Btush, Ratib. A global existence and uniqueness theorem in the extended sense for ordinary differential equations of fractional order. Al-Manarah. 2003. Vol. 9, no. 2, pp.181-185.
https://search.emarefa.net/detail/BIM-169459
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 185
Record ID
BIM-169459