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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Detalles Bibliográficos
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
Descripción
Sumario: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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