$Analysis of some Katugampola fractional differential equations with fractional boundary conditions$
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Analysis of some Katugampola fractional differential equations with fractional boundary conditions

In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary...

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Auteurs principaux:	Barbara Łupińska, Ewa Schmeidel
Format:	article
Langue:	EN
Publié:	AIMS Press 2021
Sujets:	fractional calculus lyapunov inequality green function fractional differential equations katugampola derivative eigenvalue of fractional differential equation Biotechnology TP248.13-248.65 Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/135385de037f4432b47c41ffef15cc43
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id	oai:doaj.org-article:135385de037f4432b47c41ffef15cc43
record_format	dspace
spelling	oai:doaj.org-article:135385de037f4432b47c41ffef15cc432021-11-23T01:49:16ZAnalysis of some Katugampola fractional differential equations with fractional boundary conditions10.3934/mbe.20213591551-0018https://doaj.org/article/135385de037f4432b47c41ffef15cc432021-08-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021359?viewType=HTMLhttps://doaj.org/toc/1551-0018In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.Barbara ŁupińskaEwa SchmeidelAIMS Pressarticlefractional calculuslyapunov inequalitygreen functionfractional differential equationskatugampola derivativeeigenvalue of fractional differential equationBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 7269-7279 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional calculus lyapunov inequality green function fractional differential equations katugampola derivative eigenvalue of fractional differential equation Biotechnology TP248.13-248.65 Mathematics QA1-939
spellingShingle	fractional calculus lyapunov inequality green function fractional differential equations katugampola derivative eigenvalue of fractional differential equation Biotechnology TP248.13-248.65 Mathematics QA1-939 Barbara Łupińska Ewa Schmeidel Analysis of some Katugampola fractional differential equations with fractional boundary conditions
description	In this work, some class of the fractional differential equations under fractional boundary conditions with the Katugampola derivative is considered. By proving the Lyapunov-type inequality, there are deduced the conditions for existence, and non-existence of the solutions to the considered boundary problem. Moreover, we present some examples to demonstrate the effectiveness and applications of the new results.
format	article
author	Barbara Łupińska Ewa Schmeidel
author_facet	Barbara Łupińska Ewa Schmeidel
author_sort	Barbara Łupińska
title	Analysis of some Katugampola fractional differential equations with fractional boundary conditions
title_short	Analysis of some Katugampola fractional differential equations with fractional boundary conditions
title_full	Analysis of some Katugampola fractional differential equations with fractional boundary conditions
title_fullStr	Analysis of some Katugampola fractional differential equations with fractional boundary conditions
title_full_unstemmed	Analysis of some Katugampola fractional differential equations with fractional boundary conditions
title_sort	analysis of some katugampola fractional differential equations with fractional boundary conditions
publisher	AIMS Press
publishDate	2021
url	https://doaj.org/article/135385de037f4432b47c41ffef15cc43
work_keys_str_mv	AT barbarałupinska analysisofsomekatugampolafractionaldifferentialequationswithfractionalboundaryconditions AT ewaschmeidel analysisofsomekatugampolafractionaldifferentialequationswithfractionalboundaryconditions
_version_	1718417362088099840

Analysis of some Katugampola fractional differential equations with fractional boundary conditions

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