![](/images/graphics-bg.png)
On Approximate Solutions for Fractional Logistic Differential Equation
Joint Authors
Babatin, Mohammed M.
Khidr, M. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-13
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A new approximate formula of the fractional derivatives is derived.
Theproposed formula is based on the generalized Laguerre polynomials.
Global approximationsto functions defined on a semi-infinite interval are constructed.
The fractional derivativesare presented in terms of Caputo sense.
Special attention is given to study the convergenceanalysis and estimate an error upper bound of the presented formula.
The new spectral Laguerrecollocation method is presented for solving fractional Logistic differential equation (FLDE).
Theproperties of Laguerre polynomials approximation are used to reduce FLDE to solve a systemof algebraic equations which is solved using a suitable numerical method.
Numerical results areprovided to confirm the theoretical results and the efficiency of the proposed method.
American Psychological Association (APA)
Khidr, M. M.& Babatin, Mohammed M.. 2013. On Approximate Solutions for Fractional Logistic Differential Equation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1031848
Modern Language Association (MLA)
Khidr, M. M.& Babatin, Mohammed M.. On Approximate Solutions for Fractional Logistic Differential Equation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1031848
American Medical Association (AMA)
Khidr, M. M.& Babatin, Mohammed M.. On Approximate Solutions for Fractional Logistic Differential Equation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1031848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031848