A Convergent Collocation Approach for Generalized Fractional Integro-Differential Equations Using Jacobi Poly-Fractonomials

Date

2021

Authors

Kumar, Sandeep
Pandey, Rajesh K.
Srivastava, H.M.
Singh, G. N.

Journal Title

Journal ISSN

Volume Title

Publisher

Mathematics

Abstract

In this paper, we present a convergent collocation method with which to find the numerical solution of a generalized fractional integro-differential equation (GFIDE). The presented approach is based on the collocation method using Jacobi poly-fractonomials. The GFIDE is defined in terms of the B-operator introduced recently, and it reduces to Caputo fractional derivative and other fractional derivatives in special cases. The convergence and error analysis of the proposed method are also established. Linear and nonlinear cases of the considered GFIDEs are numerically solved and simulation results are presented to validate the theoretical results.

Description

Keywords

collocation method, B-operator, Jacobi poly-fractonomials, fractional integro-differential equations

Citation

Kumar, S., Paney, R. K., Srivastava, H. M., & Singh, G. N. (2021). A Convergent Collocation for Generalized Fractional Integro-Differential Equations Using Jacobi P