How to use delta operator in Matlab?

Hello everyone,

I am studying calculus of variations.

I did not found any function to describe the variation (or delta) operator in Matlab and the software interprets how to manipulate this operator in a function.

I only found the command "functionalDerivative", but it is not what I need.

Next, a picture to show what I mean. I tried to used functionalDerivative to calculate F and G as a syms function, but result was not as expected.

Here, an example of equation I need to use:

Thank you!

[darova]

What is the equation?

[Star Strider]

Use the Symbolic Math Toolbox:

syms F(t) G(t) t 
dFplusdG = diff(F+G)
dFG = diff(F*G)
dfoverG = diff(F/G)

producing respectively:

I leave the rest to you!