Existence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theorem

In the present study, we investigate the existence of the solutions to a type of uncertain differential equations subject to nonlocal derivatives. The approach is based on the application of an extended Krasnosel’skii fixed point theorem valid on fuzzy metric spaces. With this theorem, we deduce tha...

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Bibliographic Details
Published inEuropean physical journal plus Vol. 137; no. 12; p. 1308
Main Authors Khastan, Alireza, Nieto, Juan J., Rodríguez-López, Rosana
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 05.12.2022
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Banach spaces
Complex Systems
Condensed Matter Physics
Differential equations
Existence theorems
Fixed points (mathematics)
Focus Point on Uncertainty Quantification of Modelling and Simulation in Physics and Related Areas: From Theoretical to Computational Techniques
Fuzzy sets
Mathematical analysis
Mathematical and Computational Physics
Metric space
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Theoretical
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Summary:In the present study, we investigate the existence of the solutions to a type of uncertain differential equations subject to nonlocal derivatives. The approach is based on the application of an extended Krasnosel’skii fixed point theorem valid on fuzzy metric spaces. With this theorem, we deduce that the problem of interest has a fuzzy solution, which is defined on a certain interval. Our approach includes the consideration of a related integral problem, to which the above-mentioned tools are applicable. We finish with some physical motivations.
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ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-022-03447-3