Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method

Modelling Influenza A disease dynamics under Caputo-Fabrizio fractional derivative with distinct contact rates

“…In this regard, many mathematical models, including integer and fractional order, have been created in the literature for the detailed analysis of various diseases such as cancer cells [3][4][5], varicella zoster virus [6], COVID-19 [7][8][9], plant disease [10], diabetes [11], prey-predator model [12], Nipah virus [13], childhood diseases [14], and hepatitis B [15]. Additionally, several studies have also been conducted regarding fractional derivative applications in various fields, such as optimal control [16,17], fixed point theory [18][19][20], chaotic systems [21], and heat flow [22]. In the same way, a number of mathematical models developed in regard to influenza have attempted to contribute to the literature in this area.…”

Novel Exploration of Topological Degree Method for Non-Instantaneous Impulsive Fractional Integro-Differential Equation through Application of Filtering System

“…An instantaneous impulse is a type of IDE in which the changes occur quite quickly compared to the overall duration of the procedure, while the non-instantaneous impulse begins instantly at a particular position and continues for a finite time. As referred to in the dissertations [1], [2], [11], [18], [19], [21], [22], [24] and [25]. This manuscript deals with non-instantaneous impulsive functions, which have the advantage of better results in real life application than instantaneous impulsive functions.…”

“…• These assumptions and applications have never been employed before in any research articles and it will be yield a more effective result than prior studies ( [9], [10], [13], [15], [18], [19], [23], and [24]).…”