NONLOCAL THEOREMS ON THE CAUCHY PROBLEM FOR DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER IN WEIGHTED SPACES OF CONTINUOUS FUNCTIONS
Abstract
In this article, the theorems of existence of solutions of nonlocal Cauchy problems for differential equations of fractional order in weighted spaces with Caputo derivatives are proved. Sufficient conditions for compactness of integral operators operating in the space of real-valued continuous functions on a segment are also obtained.
About the Authors
E. A. Barkova
Belarusian State University of Informatics and Radioelectronics, Minsk
Belarus
Belarus
P. P. Zabreiko
Belarusian State University, Minsk
Belarus
Belarus
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