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- Publisher
- de Gruyter
- Copyright
- © 2023 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 0174-4747
- eISSN
- 2196-6753
- DOI
- 10.1515/anly-2022-1114
- Publisher site
- See Article on Publisher Site
Abstract
AbstractThis paper deals with the existence and uniqueness results for a class of problems for nonlinear Caputo tempered implicit fractionaldifferential equations in b-metric spaces with initial and nonlocal conditions. The arguments are based on some fixed point theorems. Furthermore, two illustrations are presented to demonstrate the plausibility of our results.
Journal
Analysis – de Gruyter
Published: May 1, 2023
Keywords: Fixed point; implicit differential equations; existence; uniqueness; tempered fractional derivative; nonlocal condition; 26A33; 34A08; 34K37