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Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/76807
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dc.contributor.authorBen Wongsaijaien_US
dc.contributor.authorPhakdi Charoensawanen_US
dc.contributor.authorTeeranush Suebcharoenen_US
dc.contributor.authorWatchareepan Atiponraten_US
dc.date.accessioned2022-10-16T07:18:41Z-
dc.date.available2022-10-16T07:18:41Z-
dc.date.issued2021-12-01en_US
dc.identifier.issn16871847en_US
dc.identifier.issn16871839en_US
dc.identifier.other2-s2.0-85119490686en_US
dc.identifier.other10.1186/s13662-021-03660-xen_US
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85119490686&origin=inwarden_US
dc.identifier.urihttp://cmuir.cmu.ac.th/jspui/handle/6653943832/76807-
dc.description.abstractIn this work, we investigate h-ϕ contraction mappings with two metrics endowed with a directed graph which involve auxiliary functions. The achievement allows us to obtain applications for the existence of the solutions for Caputo fractional boundary value problems with the integral boundary condition type. In addition, we also give examples and numerical experiments supporting our main results.en_US
dc.subjectMathematicsen_US
dc.titleCommon fixed point theorems for auxiliary functions with applications in fractional differential equationen_US
dc.typeJournalen_US
article.title.sourcetitleAdvances in Difference Equationsen_US
article.volume2021en_US
article.stream.affiliationsMinistry of Higher Education, Science, Research and Innovationen_US
article.stream.affiliationsChiang Mai Universityen_US
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