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Group Description
It can perform exact, numeric, symbolic and graphic computation, e.g. arbitraryprecision calculation, solve equation, plot data and userdefined functions, linear regression, symbolic differentation and integration, patternmatch. It is a programming language, in which you can define conditional, case, piecewise, recursive, multivalue functions and procedures, derivatives, integrals and rules.
The DavisonEssex and the RiemannLiouville definitions are different in the following aspect: in the DE formula, differentiation is performed first, then integration; in the RL formula it is the other way around. The DE definition implemented, thus, maps constants to zero, imitating integer order differentiation, while the RL definition does not. This property of the DE definition makes it suitable to work with initial value problems for fractional differential equations.
Examples:
differentiation: d(x^6, x);
2.5 order differentiation: d(x^6, x, 2.5);
integration: int(x^6, x);
definite integration: int(x^6, x, 1,2);
Taylor series: taylor(exp(x), x);
big integer: 100!;
numeric: n(sin(I));
numeric solve equation: nsolve(x^2,x);
rule: f(x_):=x^2;
Plot: plot(x^2,x);
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Group Information
 105
 Mathematics
 Dec 13, 1998
 English
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