Title of article
RATIONAL APPROXIMATIONS FOR SOLVING DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER ON SEMI-INFINITE INTERVAL
Author/Authors
SHAHINI, MEHDI amirkabir university of technology - Department of Applied Mathematics, تهران, ايران , ADIBI, HOJJATOLLAH amirkabir university of technology - Department of Applied Mathematics, تهران, ايران
From page
366
To page
375
Abstract
In this paper, a generalization of rational Chebyshev functions and named fractional rational Chebyshev functions, is introduced for solving fractional differential equations. By using the collocation scheme, the effciency and performance of the new basis is shown through several examples. Also, the obtained results are compared with rational Chebyshev results. It is shown that the generalized functions are more effcient to solve fractional differential equations, and they converge more rapidly
Keywords
Fractional Calculus , Rational Approximation , Fractional Riccati Equation , Fractional Rational Chebyshev Function
Journal title
Applied and Computational Mathematics
Journal title
Applied and Computational Mathematics
Record number
2544190
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