A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations

H Khan, K Alam, H Gulzar, S Etemad… - … and Computers in …, 2022 - Elsevier
In this article, a fractal-fractional order tuberculosis mathematical model is presented for the
existence results, numerical simulations and stability analysis. The model has six classes S …

Analysis of Caputo fractional-order model for COVID-19 with lockdown

I Ahmed, IA Baba, A Yusuf, P Kumam… - Advances in difference …, 2020 - Springer
One of the control measures available that are believed to be the most reliable methods of
curbing the spread of coronavirus at the moment if they were to be successfully applied is …

A generalized coupled system of fractional differential equations with application to finite time sliding mode control for Leukemia therapy

H Khan, S Ahmed, J Alzabut, AT Azar - Chaos, Solitons & Fractals, 2023 - Elsevier
In this article, a general nonlinear system of functional differential equations for two types of
operators is considered. One of them includes RD β i which are n-operators in the Riemann …

[HTML][HTML] Fractional order PIλDμ controller for microgrid power system using cohort intelligence optimization

D Murugesan, K Jagatheesan, P Shah… - Results in Control and …, 2023 - Elsevier
Microgrids are the future of energy management systems. Effective deployment and
integration of microgrids can provide energy independence to many communities. The …

Nonlinear regularized long-wave models with a new integral transformation applied to the fractional derivative with power and Mittag-Leffler kernel

M Yavuz, T Abdeljawad - Advances in Difference Equations, 2020 - Springer
This paper presents a fundamental solution method for nonlinear fractional regularized long-
wave (RLW) models. Since analytical methods cannot be applied easily to solve such …

[HTML][HTML] On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative

K Shah, F Jarad, T Abdeljawad - Alexandria Engineering Journal, 2020 - Elsevier
In this manuscript, we investigate epidemic model of dengue fever disease under Caputo
and Fabrizio fractional derivative abbreviated as (CFFD). The respective investigation is …

Existence of solutions for some functional integrodifferential equations with nonlocal conditions

K Munusamy, C Ravichandran… - … Methods in the …, 2020 - Wiley Online Library
In this paper, we discuss the existence of mild solution of functional integrodifferential
equation with nonlocal conditions. To establish this results by using the resolvent operator …

[HTML][HTML] A Caputo fractional order financial mathematical model analyzing the impact of an adaptive minimum interest rate and maximum investment demand

MO Olayiwola, AI Alaje, AO Yunus - Results in Control and Optimization, 2024 - Elsevier
A key model for predictive analysis, particularly in finance, is the Rössler system. This study
introduces an enhanced version of this model, incorporating minimum interest rates and …

[HTML][HTML] Study of fractional order dynamics of nonlinear mathematical model

K Shah, A Ali, S Zeb, A Khan, MA Alqudah… - Alexandria Engineering …, 2022 - Elsevier
This manuscript is devoted to establishing some theoretical and numerical results for a
nonlinear dynamical system under Caputo fractional order derivative. Further, the said …

[HTML][HTML] Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative

K Shah, ZA Khan, A Ali, R Amin, H Khan… - Alexandria Engineering …, 2020 - Elsevier
This article is devoted to study a compartmental mathematical model for the transmission
dynamics of the novel Coronavirus-19 under Caputo fractional order derivative. By using …