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arxiv: 1508.00754 · v1 · pith:JFC2WHEOnew · submitted 2015-08-04 · 🧮 math.CA

Existence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales

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keywords fractionaltimeexistenceinitialproblemriemann-liouvillescalesuniqueness
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We introduce the concept of fractional derivative of Riemann-Liouville on time scales. Fundamental properties of the new operator are proved, as well as an existence and uniqueness result for a fractional initial value problem on an arbitrary time scale.

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