A Jacobi Operational Matrix for Solving a Fuzzy Linear Fractional Differential Equation
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Date
2013
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Publisher
Springer international Publishing Ag
Open Access Color
GOLD
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Abstract
This paper reveals a computational method based using a tau method with Jacobi polynomials for the solution of fuzzy linear fractional differential equations of order . A suitable representation of the fuzzy solution via Jacobi polynomials diminishes its numerical results to the solution of a system of algebraic equations. The main advantage of this method is its high robustness and accuracy gained by a small number of Jacobi functions. The efficiency and applicability of the proposed method are proved by several test examples.
Description
Salahshour, Soheil/0000-0003-1390-3551; Ahmadian, Ali/0000-0002-0106-7050
Keywords
Fuzzy Fractional Differential Equation, Caputo-Type Fuzzy Fractional Derivative, Single-Term Caputo Fractional Differential Equation, Jacobi Polynomials, Operational Matrix, Statistics and Probability, Artificial intelligence, Fractional Differential Equations, Orthogonal polynomials, Robustness (evolution), Fuzzy Differential Equations and Uncertainty Modeling, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Biochemistry, Quantum mechanics, Gene, Differential equation, FOS: Mathematics, Jacobi method, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Algebra over a field, Algebra and Number Theory, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Pure mathematics, Partial differential equation, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Chemistry, Modeling and Simulation, Physical Sciences, Jacobi polynomials, Nonlinear system, Fractional Calculus, Analysis, Mathematics, Ordinary differential equation, Algebraic equation, fuzzy fractional differential equation, Fractional ordinary differential equations, single-term Caputo fractional differential equation, Caputo-type fuzzy fractional derivative, operational matrix, Fuzzy ordinary differential equations, Fuzzy real analysis, Best approximation, Chebyshev systems, Applications of hypergeometric functions, Stability and convergence of numerical methods for ordinary differential equations
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering
Citation
Ahmadian, Ali...et al. (20139. "A Jacobi operational matrix for solving a fuzzy linear fractional differential equation", Advances In Difference Equations.
WoS Q
Q1
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OpenCitations Citation Count
85
Source
Advances in Difference Equations
Volume
2013
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CrossRef : 36
Scopus : 110
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