49 citations · 57 across the 3 of their papers we have counts for
3 papers
A Truly Conformable Calculus on Time Scales
Benaoumeur Bayour, Ahmed Hammoudi, Delfim F. M. Torres
We introduce the definition of conformable derivative on time scales and develop its calculus. Fundamental properties of the conformable derivative and integral on time scales are…
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…
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…