3 papers
math.CA2018
Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations
Thabet Abdeljawad, Raziye Mert, Delfim F. M. Torres
We introduce new fractional operators of variable order on isolated time scales with Mittag-Leffler kernels. This allows a general formulation of a class of fractional variational…
math.CA2018
Sturm Liouville Equations in the frame of fractional operators with Mittag-Leffler kernels and their discrete versions
Raziye Mert, Thabet Abdeljawad, Allan Peterson
Very recently, some authors have studied new types of fractional derivatives whose kernels are nonsingular. In this article, we study Sturm-Liouville Equations () in the fram…
math.CA2018
Existence and Uniqueness of Solutions of Nabla Fractional Difference Equations Tending to a Nonnegative Constant
Raziye Mert, Allan Peterson, Thabet Abdeljawad +1
In this paper, we reformulate certain nabla fractional difference equations which had been investigated by other researchers. The previous results seem to be incomplete. By using C…