This paper is concerned with complete synchronization for discrete-time fractional-order
fuzzy neural networks (DFFNNs) with time-varying delays. First, three original equalities and …

In this paper, we do not separate the complex-valued neural networks into two real-valued
systems, the quasi-projective synchronization and complete synchronization of fractional …

We consider positivity, monotonicity, and convexity results for discrete fractional operators
with exponential kernels. Our results cover both the sequential and nonsequential cases …

In this study, the sequential operator of mixed order is analysed on the domain (μ 2, μ 1)∈(0,
1)×(0, 1) with 1< μ 2+ μ 1< 2. Then, the positivity of the nabla operator is obtained …

In this paper, we study discrete fractional order singular systems with multiple time-varying
delays. By use of new techniques, some useful fractional order difference inequalities are …

Discrete tempered fractional calculus, as a fresh generalization of discrete fractional
calculus, takes both the advantages of discrete fractional calculus and its tempered …

We consider conditions under which the positivity of a fractional difference implies either
positivity, monotonicity, or convexity, and we consider both the non‐sequential and …

The class of symmetric function interacts extensively with other types of functions. One of
these is the class of positivity of functions, which is closely related to the theory of symmetry …

In this investigation, we suggest different systems: the k-symbol fractional Lozi system (FLS),
the k-symbol fractional Lozi system. We examine several of these systems' crucial dynamics …

We investigate the relationship between the sign of the discrete fractional sequential
difference (Δ 1+ a− μ ν Δ a μ f)(t) and the monotonicity of the function t↦ f (t) in the case …