View Item 

The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity

Access Status
Open access
Authors
Wu, J.
Zhang, Xinguang
Liu, Lishan
Wu, Yong Hong
Cui, Y.
Date
2018
Type
Journal Article

Metadata
Show full item record
Citation
Wu, J. and Zhang, X. and Liu, L. and Wu, Y.H. and Cui, Y. 2018. The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity. Boundary Value Problems. 2018: 82.
Source Title
Boundary Value Problems
DOI
ISSN
School
School of Electrical Engineering, Computing and Mathematical Science (EECMS)
Rights
URI
Collection
Abstract

© 2018, The Author(s). In this paper, we focus on the convergence analysis and error estimation for the unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity. By introducing a double iterative technique, in the case of the nonlinearity with singularity at time and space variables, the unique positive solution to the problem is established. Then, from the developed iterative technique, the sequences converging uniformly to the unique solution are formulated, and the estimates of the error and the convergence rate are derived.

http://creativecommons.org/licenses/by/4.0/
Except where otherwise noted, this item's license is described as http://creativecommons.org/licenses/by/4.0/