Modeling and analysis using piecewise hybrid fractional operator in time scale measure for ebola virus epidemics under Mittag–Leffler kernel

PA Naik, M Farman, K Jamil, KS Nisar, MA Hashmi… - Scientific Reports, 2024 - nature.com
This emerging infectious disease poses one of the most severe threats to public health in
these locations, but there are not many reliable therapies yet. In this work, we developed the …

Modeling and Ulam–Hyers stability analysis of oleic acid epoxidation by using a fractional‐order kinetic model

C Xu, M Farman, A Shehzad… - … Methods in the Applied …, 2025 - Wiley Online Library
Government initiatives, price cuts, and innovations in technology have caused a shift in the
world's raw material consumption towards renewable materials. The polymer industry has …

Global Analysis of a Fractional‐Order Hepatitis B Virus Model Under Immune Response in the Presence of Cytokines

PA Naik, BM Yeolekar, S Qureshi… - Advanced Theory …, 2024 - Wiley Online Library
This research proposes and investigates an epidemiological model to study the dynamic
behaviors of the Hepatitis B virus (HBV) under immune response and cytokine influence …

[HTML][HTML] Stability and BI-RADS 4 subcategories mitigate on cancer risk dynamics with fractional operators: a case study analysis

M Farman, N Gokbulut, E Hincal, KS Nisar - Alexandria Engineering …, 2024 - Elsevier
In this paper, we present a mathematical model to lower the probability of breast cancer risk
of the Breast Imaging Reporting and Data Systems (BI-RADS) 4 subcategories with the …

[HTML][HTML] Numerically pricing American and European options using a time fractional Black–Scholes model in financial decision-making

O Nikan, J Rashidinia, H Jafari - Alexandria Engineering Journal, 2025 - Elsevier
Abstract The time fractional Black–Scholes equation (TFBSE) is designed to evaluate price
fluctuations within a correlated fractal transmission system. This model prices American or …

Dynamic analysis of fractal–fractional cancer model under chemotherapy drug with generalized Mittag-Leffler kernel

H Joshi, M Yavuz, O Taylan, A Alkabaa - Computer Methods and Programs …, 2025 - Elsevier
Abstract Background and Objective: Cancer's complex and multifaceted nature makes it
challenging to identify unique molecular and pathophysiological signatures, thereby …

[PDF][PDF] Advancing lotka-volterra system simulation with variable fractional order caputo derivative for enhanced dynamic analysis

PA Naik, S Naveen, V Parthiban, S Qureshi… - Journal of Applied …, 2025 - jaac-online.com
This study investigates the application of the Caputo derivative with a variable fractional
order to time-dependent models of Ordinary Differential Equations (ODEs), aiming to …

[PDF][PDF] Hepatitis-B disease modelling of fractional order and parameter calibration using real data from the USA.

M Yavuz, K Akyüz, NB Bayraktar, FN Özdemir - AIMS Biophysics, 2024 - aimspress.com
In this paper, a new mathematical model of Hepatitis B is studied to investigate the
transmission dynamics of the Hepatitis B virus (HBV). Many diseases can start from the …

[HTML][HTML] Fractional-order boundary value problems solutions using advanced numerical technique

A Batool, I Talib, MB Riaz - Partial Differential Equations in Applied …, 2025 - Elsevier
The main motivation of this study is to extend the use of the operational matrices approach to
solve fractional-order two-point boundary value problems (TPBVPs), a method often …

Dynamics investigation and numerical simulation of fractional-order predator-prey model with Holling type functional response

Z Hammouch, MO Jamil, C Unlu - Discrete and Continuous …, 2024 - aimsciences.org
In the study of population dynamics, understanding the interactions between different
species is crucial. Traditional models often rely on integer-order derivatives, which lack …