Year: 2023
Author: N. S. Gopal, Jagan Mohan Jonnalagadda
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 432–445
Abstract
In this work, we deal with two-point boundary problem for a finite nabla fractional difference equation. First, we establish an associated Green's function and state some of its properties. Under suitable conditions, we deduce the existence and non-existence of positive solutions to the considered problem. Finally, we construct a few examples to illustrate the established results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.432
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 3 : pp. 432–445
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Nabla fractional difference dirichlet boundary conditions boundary value problem Green's function fixed-point positive solution eigenvalue.