Application of Perov's fixed point theorem to Fredholm type integro-differential equations

What is it about?

In this paper, we consider the concept of the so-called generalized metric space and give some results on the existence, uniqueness and estimation of the solutions of Fredholm type integro-differential equations in two variables using Perov’s fixed point theorem. Furthermore, we give some illustrative examples to verify the effectiveness and applicability of our main result.

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Why is it important?

No one studied the existence and uniqueness of the solutions of Fredholm type integrodifferential equations in two variables before.