Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions

Date

2020-01-10

Authors

Liu, Xiang
Jia, Baoguo
Gensler, Scott
Erbe, Lynn
Peterson, Allan

Journal Title

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Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article studies a boundary value problem for a nonlinear Caputo nabla fractional difference equation. We obtain quadratic convergence results for this equation using the generalized quasi-linearization method. Further, we obtain the convergence of the sequences is potentially improved by the Gauss-Seidel method. A numerical example illustrates our main results.

Description

Keywords

Caputo nabla fractional difference equation, Upper and lower solution, Generalized quasi-linearization method, Gauss-Seidel method

Citation

Liu, X., Jia, B., Gensler, S., Erbe, L., & Peterson, A. (2020). Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions. <i>Electronic Journal of Differential Equations, 2020</i>(04), pp. 1-19.

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Attribution 4.0 International

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