Computational analysis of financial system through non-integer derivative

ZU Rehman, S Boulaaras, R Jan, I Ahmad… - Journal of …, 2024 - Elsevier
The context-specific meaning of finance includes, among other things, increasing support for
social goals, developing skills, increased education, economic health, and fairness. To put it …

Fractional‐calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers

R Jan, S Boulaaras, M Alnegga… - International Journal of …, 2024 - Wiley Online Library
Typhoid fever poses a severe hazard to public health and affects at least 27 million people
annually around the globe. It is significant to conceptualize the key factors of the …

[PDF][PDF] Enhancing public health strategies for tungiasis: A mathematical approach with fractional derivative

NNH Shah, R Jan, H Ahmad… - AIMS …, 2023 - pdfs.semanticscholar.org
In this study, we formulate a mathematical model in the framework of the Atangana-Baleanu
fractional derivative in Caputo sense to study the transmission of tungiasis. In this …

[HTML][HTML] Application of the inverse Laplace transform techniques to solve the generalized Bagley–Torvik equation including Caputo's fractional derivative

D Santina, M Asif, S Aljawi, N Mlaiki - Partial differential equations in …, 2024 - Elsevier
This article employs the Laplace transform approach to solve the Bagley–Torvik equation
including Caputo's fractional derivative. Laplace transform is a powerful method for enabling …

On mathematical model of infectious disease by using fractals fractional analysis

K Shah, M Sarwar, T Abdeljawad - Discrete and Continuous …, 2024 - aimsciences.org
Here, we remarked that fractals or Housdarff derivatives are important tools to investigate
various problems. However, fractals when combined with fractional orders of different …

Analyzing a Dynamical System with Harmonic Mean Incidence Rate Using Volterra–Lyapunov Matrices and Fractal-Fractional Operators

M Riaz, FA Alqarni, K Aldwoah, FMO Birkea… - Fractal and …, 2024 - mdpi.com
This paper investigates the dynamics of the SIR infectious disease model, with a specific
emphasis on utilizing a harmonic mean-type incidence rate. It thoroughly analyzes the …

Dynamical analysis of SARS-CoV-2-Dengue co-infection mathematical model with optimum control and sensitivity analyses

RP Kumar, GS Mahapatra, PK Santra - Nonlinear Analysis: Real World …, 2024 - Elsevier
This study develops an epidemic model to analyze the dynamics of SARS-CoV-2 and
dengue coinfection in a population. The population is divided into sixteen compartments for …

Modeling the dynamics of chronic myelogenous leukemia through fractional-calculus

TQ Tang, R Jan, Z Ur Rehman, Z Shah, N Vrinceanu… - Fractals, 2022 - World Scientific
Although the therapy of chronic myelogenous leukemia (CML) has progressed because of
imatinib (IM) and other tyrosine kinase inhibitors (TKIs), the majority of patients still do not …

A robust study of the dynamics of tumor–immune interaction for public health via fractional framework

M Shutaywi, Z Shah, R Jan - The European Physical Journal Special …, 2024 - Springer
It is evident that a tumor is a dangerous lump of tissue developed through the uncontrollable
division of cells, replacing healthy tissue with abnormal tissue. It is cancerous and spreads …

[HTML][HTML] A novel study of the impact of vaccination on pneumonia via fractional approach

SD Purohit - Partial Differential Equations in Applied Mathematics, 2024 - Elsevier
Substantial advancements have been made in applying fractional calculus to understanding
the epidemiology of viral diseases. However, it remains troubling that over 2,000,000 …