In this paper, some attempts have been devoted to investigating the dynamic features of
discrete fractional calculus (DFC). To date, discrete fractional systems with complex …

A generalized fractional derivative (GFD) definition is proposed in this work. For a
differentiable function expanded by a Taylor series, we show that DαDβf (t)= Dα+ βf (t); 0< …

Recently, the authors Khalil et al.(2014) introduced a new simple well-behaved definition of
the fractional derivative called conformable fractional derivative. In this article we proceed on …

Discrete memory effects are introduced by fractional difference operators. Asymptotic
stabilities of nonlinear fractional difference equations are investigated in this paper. A linear …

We suggest a regular fractional generalization of the well‐known Sturm‐Liouville
eigenvalue problems. The suggested model consists of a fractional generalization of the …