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

• Published in: European physical journal plus Vol. 137; no. 12; p. 1308
• Main Authors: Khastan, Alireza, Nieto, Juan J., Rodríguez-López, Rosana
• Format: Journal Article
• Language: English
• 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
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-022-03447-3

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...