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20152025
most citedExistence and Uniqueness of Solution for a Fractional Riemann-Liouville Initial Value Problem on Time Scales

49 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2015 · math.CAShow all

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math.CA2015★ 3 cited

Existence of solution to a nonlinear first-order dynamic equation on time scales

Benaoumeur Bayour, Ahmed Hammoudi, Delfim F. M. Torres

We prove existence of solution to a nonlinear first-order nabla dynamic equation on an arbitrary bounded time scale with boundary conditions, where the right-hand side of the dynam…

math.CA2015★ 49 cited

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

Nadia Benkhettou, Ahmed Hammoudi, Delfim F. M. Torres

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…