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Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval. (English) Zbl 1296.45004

Summary: In this paper, we study the existence of solutions to fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval. By constructing a closed and convex subset of a Fréchet space, sufficient conditions are presented by using a fixed point theorem via the Kuratowski measure. Finally, an example is given to illustrate the obtained result.

MSC:

45G05 Singular nonlinear integral equations
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)
26A33 Fractional derivatives and integrals
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