Lectures on Fractional Calculus - CARMA
Lectures on Fractional Calculus - CARMA
Lectures on Fractional Calculus - CARMA
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Green’s functi<strong>on</strong>s• A Green’s functi<strong>on</strong> for a problem in physics isa soluti<strong>on</strong> of the governing equati<strong>on</strong>corresp<strong>on</strong>ding to a point source• The point source is just a delta functi<strong>on</strong>• So for example in electrostatics if we look forthe Green’s functi<strong>on</strong> for a point source at theorigin, we want to solve∇ 2 G(x, y) =−δ 2 (x, y)The minus sign is just a c<strong>on</strong>venti<strong>on</strong>: other authorshave a plus sign