In this paper, we simulate a maize streak virus (MSV) epidemic model using the Caputo-Fabrizio fractional derivative. We solve nonlinear fractional-order of MSV recently proposed efficient numerical method. perform several graphical simulations to explore dynamics. The investigations justify usefulness scheme in epidemiology. type generalization and implementation method are key features study.

In this paper, we further discuss the properties of three kinds of fractional derivatives: the Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative. Especially, we compare the Riemann–Liouville derivative with the Caputo derivative. And sequential property of the Caputo derivative is also derived, which is helpful in translating the higher fractional-order di...

Present paper deals with the solution of time and space fractional Pennes bioheat equation. We consider time fractional derivative and space fractional derivative in the form of Caputo fractional derivative of order [Formula: see text] and Riesz-Feller fractional derivative of order [Formula: see text] respectively. We obtain solution in terms of Fox's H-function with some special cases, by usi...

In this study we have proposed the SIAQR model with time-dependent infection rate. The model’s well-posedness is demonstrated, and then extended to fractional mathematical by employing Caputo-Fabrizio derivative operator. We also used Lipschitz condition linear growth determine conditions under which has a unique solution. numerical solutions are presented. Furthermore, using graphical represen...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...