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- Title
Unique Solutions for Fractional q-Difference Boundary Value Problems Via a Fixed Point Method.
- Authors
Ren, Jing; Zhai, Chengbo
- Abstract
In this paper, by applying the cone theory in ordered Banach spaces associated with the characters of increasing φ - (h , e) -concave operators, we investigate the existence and uniqueness of nontrivial solutions for a nonlinear fractional q-difference equation boundary value problem. The main results show that we can construct an iterative scheme approximating the unique nontrivial solution. Relying on an example, we show the efficiency and applicability of the main result.
- Subjects
LAPLACIAN operator; BOUNDARY value problems; BANACH spaces
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2019, Vol 42, Issue 4, p1507
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-017-0560-2