49 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
3 papers · 1 filter
Generalized Fractional Operators on Time Scales with Application to Dynamic Equations
Kheira Mekhalfi, Delfim F. M. Torres
We introduce more general concepts of Riemann-Liouville fractional integral and derivative on time scales, of a function with respect to another function. Sufficient conditions for…
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…