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How is the Riemann-Liouville fractional order integral code in MATLAB?

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iraj mohammadpour
iraj mohammadpour on 2 Dec 2023
Edited: Walter Roberson on 2 Dec 2023
How is the Riemann-Liouville fractional order integral code in MATLAB?

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Answers (1)

Walter Roberson
Walter Roberson on 2 Dec 2023
Edited: Walter Roberson on 2 Dec 2023
Ran in:
syms alpha t s real
syms f(s)
Iaf(t) = 1/gamma(alpha) * int((t-s)^(alpha-1) * f, s, 0, t)
Iaf(t) = 
%example
subs(Iaf, {f}, {sin(s)})
ans(t) = 
subs(Iaf, {alpha, f}, {sym(5)/4, sin(s)})
ans(t) = 
%example 2
subs(Iaf, {f}, {s*(s-5)})
ans(t) = 
subs(Iaf, {alpha, f}, {sym(5)/4, s*(s-5)})
ans(t) = 

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