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arxiv: 1811.12087 · v1 · pith:N3BEG2YXnew · submitted 2018-11-29 · 🧮 math.DS

On Fractional Volterra integrodifferential equations with fractional integrable impulses

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keywords fractionalimpulsesintegrableintegrodifferentialvolterraacquiredbanachbeen
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We consider a class of nonlinear fractional Volterra integrodifferential equation with fractional integrable impulses and investigate the existence and uniqueness results in the Bielecki's normed Banach spaces. Further, Bielecki--Ulam type stabilities have been demonstrated on a compact interval. A concrete example is provided to illustrate the outcomes we acquired.

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