Lebesgue measurable function in fractional differential equations
Other Title(s)
دالة ليبيك القياسية في المعادلات التفاضلية الكسرية
Author
Source
Journal of Kufa for Mathematics and Computer
Issue
Vol. 1, Issue 3 (31 May. 2011), pp.25-30, 6 p.
Publisher
University of Kufa Faculty of Mathematics and Computers Science
Publication Date
2011-05-31
Country of Publication
Iraq
No. of Pages
6
Main Subjects
Topics
Abstract AR
برهن بسام محمد علي [1] بعض مبرهنات الوجود و الوحدانية للمعادلات التفاضيلية الخطية الكسرية الآتية : {█(〖L_n〗_α (y)= ∑_(i=0)^n▒〖Pi (x) y^[(n-i)^α ] 〗 (x)=F (x)@:الابتدائي الشرط ذات @,y^((kα-1) ) (a)= μ_k )┤ ....(1) حيث أن α في هذا البحث تم إثبات بعض المبرهنات المتعلقة بالمعادلة (1) و خصوصا عند α = 1. المعادلة (1) هي معادلة تفاضلية اعتيادية من الرتبة n، لذلك فإن جميع المبرهنات المثبتة هنا سوف تختزل للحصول على نتائج معرفة جيدا في نظرية المعادلات التفاضلية الاعتيادية. و في النهاية نعطي بعض الأمثلة و التطبيقات الخاصة بمعادلة (1).
Abstract EN
Bassam, M.A.
[1], proved some existence and uniqueness theorems for the following fractional linear differential equation.
Lna (y) =∑_(i=0)^n▒〖pi 〗 [(n-i) a] (x) = F (x)..1 With the initial conditions Y (k a-1) (a) = U k Where a < x < b, 0 < 1, k are real numbers, k = 1, 2, n, pi (x), F (x) are continuous functions defined on (a, b) such that p0 (x) 0, I = 0, 1, n and y [(n-i)] denotes the fractional derivative of order (n-i) for the function y = In this work we prove some theorems for equation (1), however for =1.
Equation (1) Is an ordinary differential equation o order n, therefore all the theorems proved here will be reduced to well-known result in the theory of ordinary differential equations.
Moreover We give some examples and an application for equation (1).
American Psychological Association (APA)
Shakir, Sabah Mahmud. 2011. Lebesgue measurable function in fractional differential equations. Journal of Kufa for Mathematics and Computer،Vol. 1, no. 3, pp.25-30.
https://search.emarefa.net/detail/BIM-307838
Modern Language Association (MLA)
Shakir, Sabah Mahmud. Lebesgue measurable function in fractional differential equations. Journal of Kufa for Mathematics and Computer Vol. 1, no. 3 (May. 2011), pp.25-30.
https://search.emarefa.net/detail/BIM-307838
American Medical Association (AMA)
Shakir, Sabah Mahmud. Lebesgue measurable function in fractional differential equations. Journal of Kufa for Mathematics and Computer. 2011. Vol. 1, no. 3, pp.25-30.
https://search.emarefa.net/detail/BIM-307838
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 29
Record ID
BIM-307838