Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

Fractional Operators in p-adic Variable Exponent Lebesgue Spaces and Application to p-adic Derivative

In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p-adic variable exponent Lebesgue...

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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-9
Hauptverfasser: Chacón-Cortés, Leonardo Fabio, Rafeiro, Humberto
Format: Artikel
Sprache:eng
Schlagworte:
Cauchy problems
Fractional calculus
Inequality
Operators (mathematics)
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Zusammenfassung:In this paper, we prove the boundedness of the fractional maximal and the fractional integral operator in the p-adic variable exponent Lebesgue spaces. As an application, we show the existence and uniqueness of the solution for a nonhomogeneous Cauchy problem in the p-adic variable exponent Lebesgue spaces.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/3096701