Cuesta, Eduardo; Ponce, Rodrigo Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces. (English) Zbl 1524.35686 Comput. Math. Appl. 85, 57-68 (2021). MSC: 35R11 65R20 26A33 65M15 34A08 PDFBibTeX XMLCite \textit{E. Cuesta} and \textit{R. Ponce}, Comput. Math. Appl. 85, 57--68 (2021; Zbl 1524.35686) Full Text: DOI
Cuesta, Eduardo; Ponce, Rodrigo Well-posedness, regularity, and asymptotic behavior of continuous and discrete solutions of linear fractional integro-differential equations with time-dependent order. (English) Zbl 1401.45012 Electron. J. Differ. Equ. 2018, Paper No. 173, 27 p. (2018). MSC: 45N05 65R20 65J10 45J05 PDFBibTeX XMLCite \textit{E. Cuesta} and \textit{R. Ponce}, Electron. J. Differ. Equ. 2018, Paper No. 173, 27 p. (2018; Zbl 1401.45012) Full Text: Link
Cuesta, Eduardo Asymptotic behaviour of the solutions of fractional integro-differential equations and some time discretizations. (English) Zbl 1163.45306 Discrete Contin. Dyn. Syst. 2007, Suppl., 277-285 (2007). MSC: 45M05 26A33 45N05 65J10 44A35 65R20 PDFBibTeX XMLCite \textit{E. Cuesta}, Discrete Contin. Dyn. Syst. 2007, 277--285 (2007; Zbl 1163.45306)
Cuesta, E.; Palencia, C. A numerical method for an integro-differential equation with memory in Banach spaces: qualitative properties. (English) Zbl 1054.65131 SIAM J. Numer. Anal. 41, No. 4, 1232-1241 (2003). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45K05 65J10 PDFBibTeX XMLCite \textit{E. Cuesta} and \textit{C. Palencia}, SIAM J. Numer. Anal. 41, No. 4, 1232--1241 (2003; Zbl 1054.65131) Full Text: DOI