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<p>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.</p>

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

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  • 出版模式：

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  • 发表日期：

    2025年11月5日

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  • Barbara Łupińska,
  • Tatiana Odzijewicz

摘要

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.