Convergence of approximate solutions to nonlinear Caputo nabla fractional difference equations with boundary conditions
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Date
2020-01-10
Authors
Liu, Xiang
Jia, Baoguo
Gensler, Scott
Erbe, Lynn
Peterson, Allan
Journal Title
Journal ISSN
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. Electronic Journal of Differential Equations, 2020(04), pp. 1-19.
Rights
Attribution 4.0 International