I have an integral equation: $\int_0^T( t^\alpha + s^\alpha -|t-s|^\alpha) \phi(s)ds=\lambda\phi(t)$ for $\alpha\in(0,2)$. I think this is a Fredholm equation but I am not sure how to solve it. Appreciate any assistance.
Thanks,
Ido.
I have an integral equation: $\int_0^T( t^\alpha + s^\alpha -|t-s|^\alpha) \phi(s)ds=\lambda\phi(t)$ for $\alpha\in(0,2)$. I think this is a Fredholm equation but I am not sure how to solve it. Appreciate any assistance.
Thanks,
Ido.
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