Continuous Time Random Walk: Difference between revisions
Jump to navigation
Jump to search
| Line 32: | Line 32: | ||
:<math>\frac{\partial n(x,t)}{\partial t} = \int_0^t \left ( \int_{-\infty}^{\infty}{K(x-x',t-t',x',t')n(x',t')dx'} - n(x,t')\int_{-\infty}^{\infty}{K(x-x',t-t',x',t')dx'}\right )dt'</math> | :<math>\frac{\partial n(x,t)}{\partial t} = \int_0^t \left ( \int_{-\infty}^{\infty}{K(x-x',t-t',x',t')n(x',t')dx'} - n(x,t')\int_{-\infty}^{\infty}{K(x-x',t-t',x',t')dx'}\right )dt'</math> | ||
where ''n'' is the particle (probability) density, and ''K'' a kernel that depends on ''p'' and ''ψ''. | |||
== Fractional Differential Equations == | == Fractional Differential Equations == | ||