Work

The existence of solutions to some fractional Cauchy problem in the weighted space of continuous functions

Year: 2025

Type: article

Abstract: 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.

Source: Periodica Mathematica Hungarica

DOI: 10.1007/s10998-025-00686-6

Authors: Barbara Łupińska, Tatiana Odzijewicz

Institutions: University of Białystok, SGH Warsaw School of Economics

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Szkoła Główna Handlowa w Warszawie