Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval

Authors

• Abdellatif Boutiara
• Maamar Benbachir
• Mohammed K. A. Kaabar
• Francisco Martinez
• Mohammad Esmael Samei
• Melike Kaplan

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

Publication Title

Journal of Inequalities and Applications

Recommended Citation

Boutiara, Abdellatif; Benbachir, Maamar; Kaabar, Mohammed K. A.; Martinez, Francisco; Samei, Mohammad Esmael; and Kaplan, Melike, "Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval" (2022). Research Publications (2021 to 2025). 9584.
https://knova.um.edu.my/research_publications_2021_2025/9584

Divisions

MathematicalSciences

Funders

Bu-Ali Sina University

Volume

2022

Issue

1

Publisher

Springer

Publisher Location

ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES