In this paper, we study four critical aspects of a new class of multi-time scale nonlinear
fractional stochastic differential equations with fractional integral in the sense of Riemann …

This article investigates finite-time stability (FTS) and finite-time contractive stability (FTCS)
of discontinuous nonlinear fractional-order (FO) systems with time-delay and state …

The edges of objects in an image are determined through edge detection. Edge detection is
a vital concept in object tracking and pattern recognition. This work proposes a simple and …

This study investigates the multistability phenomenon and coexisting attractors in the
modified Autonomous Van der Pol-Duffing (MAVPD) system and its fractional-order form …

The characterisation of edges in medical images is critical for disease diagnosis. However,
existing systems are still deficient in this task. Traditionally, integer-based derivative …

Compared with electrical resistance tomography, capacitively coupled electrical resistance
tomography (CCERT) is preferred since it avoids problems of electrode corrosion and …

In this paper, fractional calculus principles are considered to implement fractional derivative
gradient optimizers for the Tensorflow backend. The performance of these fractional …

This paper aims to provide an understanding of the dynamics and behavior of the financial
model in the context of fractional differential equations. The model explores the interactions …

In this paper, we propose two fractional-order calculus-based data augmentation methods
for audio signals. The first approach is based on fractional differentiation of the Mel scale. By …

Neural audio reconstruction is an important subtopic of Neural Audio Synthesis (NAS),
which is a current emerging topic of modern Artificial Intelligence (AI) applications. The …