Integro differential equations

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In this chapter we will be concerned with the Fredholm integro-differential equations
where both differential and integral operators will appear in the same equation. The
differential operator may be of first order or higher order.
Scientists and researchers investigated the topic of integro-differential equations
through their work in science applications such as heat transfer, diffusion process in
general, neutron diffusion and biological species coexisting together with increasing and
decreasing rates of generating. More details about the sources where these equations
arise can be found in physics, biology and engineering applications as well as in
advanced integral equations books.
In the Fredholm integro-differential equations, it is important to note that the unknown
function u(x) and one or more of its derivatives such as u′(x), u″(x), ..., appear outside
and inside the integral sign as well. The Fredholm integro-differential equations come
as a first kind and as a second kind as defined for the Fredholm integral equations.

what is fredholm integro differential equation
What is Volterra integro differential equation
How to find the solution of fredholm integro differential equation
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How to find the solution of Volterra integro differential equation
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