An Operational Matrix Based on Legendre Polynomials for Solving Fuzzy Fractional-Order Differential Equations
This paper deals with the numerical solutions of fuzzy fractional differential equations under Caputo-type fuzzy fractional derivatives of order . We derived the shifted Legendre operational matrix (LOM) of fuzzy fractional derivatives for the numerical solutions of fuzzy fractional differential equ...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/505903 |
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| Summary: | This paper deals with the numerical solutions of fuzzy fractional differential equations under Caputo-type fuzzy fractional
derivatives of order . 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. |
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| ISSN: | 1085-3375 1687-0409 |