Amjad Shaikh

TL;DR: A Bats–Hosts–Reservoir–People transmission fractional-order COVID-19 model is analysed for simulating the potential transmission with the thought of individual response and control measures by the government and the effectiveness of preventive measures, predicting future outbreaks and potential control strategies of the disease are estimated.

TL;DR: In this article, the conditions for existence and uniqueness of solutions of fractional initial value problems are established using fixed point theorem and contraction principle, respectively, and the results reveal that the proposed method is most suitable in terms of computational cost efficiency, and accuracy which can be applied to find solutions of nonlinear fractional reaction-diffusion equations.

TL;DR: A mathematical model of the coronavirus disease 2019 (COVID-19) to investigate the transmission and control mechanism of the disease in the community of Nigeria using stability theory of differential equations, the qualitative behavior of model is studied.

TL;DR: This paper developed existence, uniqueness and stability criteria for fractional order Typhoid fever model having Caputo-Fabrizio operator by using fixed point theory and obtained the first accessible approximate solutions for a proposed model by utilizing iterative Laplace transform method.

TL;DR: In this article, a fractional complex transform with new iterative method (NIM) is used to obtain approximate solutions for the nonlinear time fractional Kawahara and modified kahara equations based on He's fractional derivative.