A perturbation-based approach for solving fractional-order Volterra-Fredholm integro differential equations and its convergence analysis

• Published in: International journal of computer mathematics Vol. 97; no. 10; pp. 1994 - 2014
• Main Authors: Das, Pratibhamoy, Rana, Subrata, Ramos, Higinio
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.10.2020; Taylor & Francis Ltd
• Subjects: 1A58; Approximation; approximation theory; Caputo fractional derivative; Convergence; convergence analysis; Differential equations; Exact solutions; experimental evidence; Fractional integro differential equation; Integral equations; perturbation approach; Perturbation methods; Volterra-Fredholm integral equation

The present work considers the approximation of solutions of a type of fractional-order Volterra-Fredholm integro-differential equations, where the fractional derivative is introduced in Caputo sense. In addition, we also present several applications of the fractional-order differential equations an...