The existence of solutions to some fractional Cauchy problem in the weighted space of continuous functions
In this paper we obtain some existence theorems for Katugampola fractional differential equations with fractional boundary conditions in the weighted space of continuous functions. Presented theorems include the classical boundary conditions and anti-periodic boundary conditions. Results are obtained by applying standard fixed point theorems.
Authors
- Barbara Łupińska (ORCID: https://orcid.org/0000-0001-7079-0843)
- Tatiana Odzijewicz (ORCID: https://orcid.org/0000-0002-4354-9293)
Institutions
- SGH Warsaw School of Economics (PL)
- University of Białystok (PL)
Publication Details
- Journal
- Periodica Mathematica Hungarica
- Published
- 2025-11-05
- DOI
- https://doi.org/10.1007/s10998-025-00686-6
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Szkoła Główna Handlowa w Warszawie