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
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
