An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations
Joint Authors
Suleiman, Mohamed bin
Ahmadian, Ali
Salahshour, Soheil
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-18
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
This paper deals with the numerical solutions of fuzzy fractional differential equations under Caputo-type fuzzy fractional derivatives of order α∈0,1.
We derived the shifted Legendre operational matrix (LOM) of fuzzy fractional derivatives for the numerical solutions of fuzzy fractional differential equations (FFDEs).
Our main purpose is to generalize the Legendre operational matrix to the fuzzy fractional calculus.
The main characteristic behind this approach is that it reduces such problems to the degree of solving a system of algebraic equations which greatly simplifies the problem.
Several illustrative examples are included to demonstrate the validity and applicability of the presented technique.
American Psychological Association (APA)
Ahmadian, Ali& Suleiman, Mohamed bin& Salahshour, Soheil. 2013. An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-29.
https://search.emarefa.net/detail/BIM-477001
Modern Language Association (MLA)
Ahmadian, Ali…[et al.]. An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-29.
https://search.emarefa.net/detail/BIM-477001
American Medical Association (AMA)
Ahmadian, Ali& Suleiman, Mohamed bin& Salahshour, Soheil. An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-29.
https://search.emarefa.net/detail/BIM-477001
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-477001