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Surveys in Mathematics and its Applications Volume 9 (2014) Contents 1. M. I. Gil', Explicit stability conditions for neutral type vector functional differential equations. A survey, 1 2. M. R. Buneci, Various notions of amenability for not necessarily locally compact groupoids, 55 3. M. Benchohra and J. E. Lazreg, Existence results for nonlinear implicit fractional differential equations, 79 4. M. Lakrib, R. Guen and A. Bourada, Averaging for fuzzy differential equations, 93 5. K. Boukerrioua, Global existence of solution for reaction diffusion systems with a full matrix of diffusion coefficients, 105 6. V. Vijayakumar, C. Ravichandran and R. Murugesu, Existence of mild solutions for nonlocal Cauchy problem for fractional neutral evolution equations with infinite delay, 117 7. T. V. Sudharsan and R. Vijaya, On second Hankel determinant for two new subclasses of analytic functions, 131 8. M. Haji Shaabani and B. Khani Robati, Toeplitz operators and multiplication operators in the commutant of a composition operator on weighted Bergman spaces, 139 9. H. Trivedi, A covariant Stinespring type theorem for τ-maps, 149 10. L. Guran Manciu, Ulam-Hyers stability of fixed point equations for multivalued operators on KST spaces, 167