RT Journal Article
T1 Existence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theorem
A1 Khastan, Alireza
A1 Nieto Roig, Juan José
A1 Rodríguez López, Rosana
AB 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
PB Springer
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29995
UL http://hdl.handle.net/10347/29995
LA eng
NO Khastan, A., Nieto, J.J. & Rodríguez-López, R. Existence of solutions to uncertain differential equations of nonlocal type via an extended Krasnosel’skii fixed point theorem. Eur. Phys. J. Plus 137, 1308 (2022). https://doi.org/10.1140/epjp/s13360-022-03447-3
NO We are grateful to the Editor and the anonymous Referees for their comments and suggestions that helped to improve the paper. The research of J.J.N. and R.R.L. is supported by grant numbers PID2020-113275GB-I00 (AEI/FEDER, UE), MTM2016-75140-P (AEI/FEDER, UE), and ED431C 2019/02 (GRC Xunta de Galicia). The visit of A.K. to the University of Santiago de Compostela has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain, co-financed by the European Fund for Regional Development (FEDER) corresponding to the 2014-2020 multiyear financial framework, project MTM2016-75140-P; and by Xunta de Galicia under grant ED431C 2019/02. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
DS Minerva
RD 23 abr 2026