Yunxiang Bai and Aghalaya S Vatsala. Numerical Results for Nonlinear Caputo Fractional Impulsive Differential Equations via Generalized Monotone Method. Neural Parallel and Scientific Computations 28 (2020), No. 1, 19-36

https://doi.org/10.46719/npsc20202812

ABSTRACT.
Existence and uniqueness of the solution of Caputo fractional impulsive differential equations has been established recently by generalized monotone method. In this work, we will demonstrate the numerical application of the generalized monotone method for Caputo fractional impulsive differential equations which arises in population models, and blow up problems. The numerical code developed here is applicable in a variety of other physical application problems also. In this work, we will be discussing the numerical applications of Caputo fractional impulsive differential equations.

AMS (MOS) Subject Classification. 34A08, 34A37.