I need to solve this Fredholm integral equation of the second kind:
The kernel is:
where a: real, i: imaginary unit.
The coding is from Mathematica (Matlab does not have a Struve function in its library like Mathematica does). I use this: http://www.mathworks.com/matlabcentral/fileexchange/19456-fredholm-integral-equations program to solve the integral equation but I have a problem with respect to the kernel. I haven't found how to solve symbolically the Struve function. For the Bessel one I use the Symbolic Math Toolbox and the besselj function but for the Struve one the only algorithms I have found online are ones that solve the function for a number (real,complex etc but not for a symbol). The kernel needs to be a function of s and t in order to use it in the integral. Could anyone please help me figure it out?