Can Fredholm Integral Equations Be Solved Without Fourier Transforms?

[matematikuvol]

Is there any way to solve Fredholm integral equation without using Fourier transform.
$$\varphi(t)=f(t)+\lambda\int^b_aK(t,s)\varphi(s)ds$$?

 

[mathman]

http://mathworld.wolfram.com/FredholmIntegralEquationoftheSecondKind.html

Try the above.