Kavitha, V.; Arjunan, M. Mallika Controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces. (English) Zbl 1231.93016 J. Nonlinear Sci. Appl. 4, No. 2, 152-169 (2011). Summary: We establish a sufficient condition for the controllability of impulsive quasi-linear fractional mixed Volterra-Fredholm-type integrodifferential equations in Banach spaces. The results are obtained by using Banach’s contraction fixed point theorem combined with the fractional calculus theory. Cited in 2 Documents MSC: 93B05 Controllability 93C15 Control/observation systems governed by ordinary differential equations 34G20 Nonlinear differential equations in abstract spaces 34A37 Ordinary differential equations with impulses Keywords:controllability; quasi-linear differential equation; fractional calculus; nonlocal condition; integrodifferential equation; evolution equation; fixed point PDFBibTeX XMLCite \textit{V. Kavitha} and \textit{M. M. Arjunan}, J. Nonlinear Sci. Appl. 4, No. 2, 152--169 (2011; Zbl 1231.93016) Full Text: DOI EuDML EMIS Link