Wu, Jun; Liu, Yicheng Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces. (English) Zbl 1176.45014 Electron. J. Differ. Equ. 2009, Paper No. 129, 8 p. (2009). Summary: We established the existence and uniqueness of solutions for fractional integro-differential equations with nonlocal conditions in Banach spaces. Krasnoselskii-Krein-type conditions are used for obtaining the main result. Cited in 11 Documents MSC: 45N05 Abstract integral equations, integral equations in abstract spaces 45J05 Integro-ordinary differential equations 45G10 Other nonlinear integral equations 26A33 Fractional derivatives and integrals Keywords:fractional integro-differential equations; nonlocal condition; equivalent norms; Cauchy problem; Caputo fractional derivative; Banach spaces; Krasnoselskii-Krein-type conditions PDFBibTeX XMLCite \textit{J. Wu} and \textit{Y. Liu}, Electron. J. Differ. Equ. 2009, Paper No. 129, 8 p. (2009; Zbl 1176.45014) Full Text: EuDML Link