On existence and asymptotic behaviour of solutions of a fractional integral equation with linear modification of the argument

Mathematics – Classical Analysis and ODEs

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Scientific paper

We study the solvability of a quadratic integral equation of fractional order
with linear modification of the argument. This equation is considered in the
Banach space of real functions defined, bounded and continuous on an unbounded
interval. Moreover, we will obtain some asymptotic characterization of
solutions.

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