Convergence of solutions for perturbed and unperturbed cobweb models with generalized Caputo derivative

Abstract

Abstract In this paper, continuous cobweb models with a generalized Caputo derivative called Caputo–Katugampola are investigated for both supply and demand functions and their perturbations. The convergence of each solution in the perturbed and unperturbed cases to a single equilibrium is proved. Moreover, some numerical experiments are provided to validate the theoretical results.

Keywords

• Fractional-order systems
• Cobweb model
• Generalized Caputo derivative