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 …

Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

Recent studies have highlighted the statistical relevance and applicability of trigonometric
distributions for the modeling of various phenomena. This paper contributes to the subject by …

Waterborne diseases are illnesses caused by pathogenic bacteria that spread through water
and have a negative influence on human health. Due to the involvement of most countries in …

This paper investigates novel solitary wave solutions of the unidirectional Dullin–Gottwald–
Holm model and employs the modified Khater (MKhat) method for studying the dynamical …

The Caputo fractional derivative has been one of the most useful operators for modelling
non-local behaviours by fractional differential equations. It is defined, for a differentiable …

Nonlocal differential and integral operators with fractional order and fractal dimension have
been recently introduced and appear to be powerful mathematical tools to model complex …

In this study, a new and general fractional formulation is presented to investigate the
complex behaviors of a capacitor microphone dynamical system. Initially, for both …

The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

The aim of this article is to propose a new definition of fuzzy fractional derivative, so-called
fuzzy conformable. To this end, we discussed fuzzy conformable fractional integral softly …