3 papers
math.CA2020
Lyapunov functions for fractional order h-difference systems
Xiang Liu, Baoguo Jia, Lynn Erbe +1
This paper presents some new propositions related to the fractional order -difference operators, for the case of general quadratic forms and for the polynomial type, which allow…
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…