Pinakadhar Baliarsingh, Swaraj Sahoo
Abstract
This paper deals with the generalized conformable fractional derivative and certain interesting properties which are not compatible with Riemann-Liouville and Caputo fractional derivatives. The newly defined derivative is more efficient than other conformable fractional derivatives and the nonlocal fractional derivatives from a time perspective. To justify the claim, we provide some direct applications, such as population growth, Newton’s body cooling, heat equation and susceptible-infected-removed models. Solutions obtained from models and comparison with respective previous data are demonstrated with the help of graphs or stems.
Citation format
BALIARSINGH, Pinakadhar; SAHOO, Swaraj. On dynamics of certain models via generalized conformable fractional derivative. Journal of Nonlinear Modeling and Analysis, 2025.