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

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'...

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Main Authors: Boutiara, Abdellatif, Benbachir, Maamar, Kaabar, Mohammed K. A., Martinez, Francisco, Samei, Mohammad Esmael, Kaplan, Melike
Format: Article
Published: Springer 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/32750/
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spelling my.um.eprints.327502022-08-12T07:21:24Z http://eprints.um.edu.my/32750/ Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval Boutiara, Abdellatif Benbachir, Maamar Kaabar, Mohammed K. A. Martinez, Francisco Samei, Mohammad Esmael Kaplan, Melike QA Mathematics 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. Springer 2022-03-03 Article PeerReviewed Boutiara, Abdellatif and Benbachir, Maamar and Kaabar, Mohammed K. A. and Martinez, Francisco and Samei, Mohammad Esmael and Kaplan, Melike (2022) Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval. Journal of Inequalities and Applications, 2022 (1). ISSN 1029-242X, DOI https://doi.org/10.1186/s13660-022-02764-6 <https://doi.org/10.1186/s13660-022-02764-6>. 10.1186/s13660-022-02764-6
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Boutiara, Abdellatif
Benbachir, Maamar
Kaabar, Mohammed K. A.
Martinez, Francisco
Samei, Mohammad Esmael
Kaplan, Melike
Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
description 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.
format Article
author Boutiara, Abdellatif
Benbachir, Maamar
Kaabar, Mohammed K. A.
Martinez, Francisco
Samei, Mohammad Esmael
Kaplan, Melike
author_facet Boutiara, Abdellatif
Benbachir, Maamar
Kaabar, Mohammed K. A.
Martinez, Francisco
Samei, Mohammad Esmael
Kaplan, Melike
author_sort Boutiara, Abdellatif
title Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
title_short Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
title_full Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
title_fullStr Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
title_full_unstemmed Explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
title_sort explicit iteration and unbounded solutions for fractional q-difference equations with boundary conditions on an infinite interval
publisher Springer
publishDate 2022
url http://eprints.um.edu.my/32750/
_version_ 1744649149898293248
score 13.211869

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