The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach

This paper deals with the existence of nonnegative solutions for a class of boundary value problems of fractional q-differential equation [Formula: see text] with three-point conditions for [Formula: see text] on a time scale [Formula: see text] , where [Formula: see text] , [Formula: see text] , an...

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Autores principales: Samei, Mohammad Esmael, Ahmadi, Ahmad, Hajiseyedazizi, Sayyedeh Narges, Mishra, Shashi Kant, Ram, Bhagwat
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8063195/
https://www.ncbi.nlm.nih.gov/pubmed/33907360
http://dx.doi.org/10.1186/s13660-021-02612-z
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author Samei, Mohammad Esmael
Ahmadi, Ahmad
Hajiseyedazizi, Sayyedeh Narges
Mishra, Shashi Kant
Ram, Bhagwat
author_facet Samei, Mohammad Esmael
Ahmadi, Ahmad
Hajiseyedazizi, Sayyedeh Narges
Mishra, Shashi Kant
Ram, Bhagwat
author_sort Samei, Mohammad Esmael
collection PubMed
description This paper deals with the existence of nonnegative solutions for a class of boundary value problems of fractional q-differential equation [Formula: see text] with three-point conditions for [Formula: see text] on a time scale [Formula: see text] , where [Formula: see text] , [Formula: see text] , and [Formula: see text] , based on the Leray–Schauder nonlinear alternative and Guo–Krasnoselskii theorem. Moreover, we discuss the existence of nonnegative solutions. Examples involving algorithms and illustrated graphs are presented to demonstrate the validity of our theoretical findings.
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spelling pubmed-80631952021-04-23 The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach Samei, Mohammad Esmael Ahmadi, Ahmad Hajiseyedazizi, Sayyedeh Narges Mishra, Shashi Kant Ram, Bhagwat J Inequal Appl Research This paper deals with the existence of nonnegative solutions for a class of boundary value problems of fractional q-differential equation [Formula: see text] with three-point conditions for [Formula: see text] on a time scale [Formula: see text] , where [Formula: see text] , [Formula: see text] , and [Formula: see text] , based on the Leray–Schauder nonlinear alternative and Guo–Krasnoselskii theorem. Moreover, we discuss the existence of nonnegative solutions. Examples involving algorithms and illustrated graphs are presented to demonstrate the validity of our theoretical findings. Springer International Publishing 2021-04-23 2021 /pmc/articles/PMC8063195/ /pubmed/33907360 http://dx.doi.org/10.1186/s13660-021-02612-z Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Samei, Mohammad Esmael
Ahmadi, Ahmad
Hajiseyedazizi, Sayyedeh Narges
Mishra, Shashi Kant
Ram, Bhagwat
The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
title The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
title_full The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
title_fullStr The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
title_full_unstemmed The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
title_short The existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
title_sort existence of nonnegative solutions for a nonlinear fractional q-differential problem via a different numerical approach
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8063195/
https://www.ncbi.nlm.nih.gov/pubmed/33907360
http://dx.doi.org/10.1186/s13660-021-02612-z
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