Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
Document Type
Article
Publication Date
3-3-2022
Abstract
In this work, a proposed system of fractional boundary value problems is investigated concerning its unbounded solutions' existence for a class of nonlinear fractional q-difference equations in the context of the Riemann-Liouville fractional q-derivative on an infinite interval. The system's solution is formulated with the help of Green's function. A compactness criterion is established in a special space. All the obtained results of uniqueness and existence are investigated with the help of fixed-point theorems. Some essential examples are illustrated to support our main outcomes.
Keywords
Fractional q-difference equation, Fractional q-derivative, Unbounded solution, Explicit iteration, Infinite interval
Divisions
MathematicalSciences
Funders
Bu-Ali Sina University
Publication Title
Journal of Inequalities and Applications
Volume
2022
Issue
1
Publisher
Springer
Publisher Location
ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES