Fractional evolution equation with Cauchy data in L p $L^{p}$ spaces

Abstract In this paper, we consider the Cauchy problem for fractional evolution equations with the Caputo derivative. This problem is not well posed in the sense of Hadamard. There have been many results on this problem when data is noisy in L 2 $L^{2}$ and H s $H^{s}$ . However, there have not been...

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Principais autores:	Nguyen Duc Phuong, Dumitru Baleanu, Ravi P. Agarwal, Le Dinh Long
פורמט:	Artigo
שפה:	Inglês
יצא לאור:	SpringerOpen 2022-12-01
סדרה:	Boundary Value Problems
נושאים:	Fractional evolution equation Caputo derivative Cauchy problem Fourier truncation regularization Sobolev embeddings
גישה מקוונת:	https://doi.org/10.1186/s13661-022-01683-1
תגים:	הוספת תג אין תגיות, היה/י הראשונ/ה לתייג את הרשומה!