Global existence theory and chaos control of fractional differential equations

By Wei Lin. 2007

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Existence of the mild solution for some fractional differential equations with nonlocal conditions (2009, background): “In [ 19 ], the author studied both the local and global existence of solutions to the equation � D q x(t) = f (t, x(t)),”
Fractional-order delayed predator–prey systems with Holling type-II functional response (2015, methodology): “It has been successfully applied to system biology [7,15,37,38,47], physics [9,14,19,49], chemistry and biochemistry [48], hydrology [24,41], engineering [29,30], medicine [3,16,18], and finance [6].”
Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay (2010, background): “The theory of fractional order differential equations has become an active area of investigation due to their applications in the fields such as physics, technical sciences and so on. One can see Anguraj [1], Lakshmikantham and his co-authors [14,15], Hu et al. [10], Mophou and N’Gu´ er´ ekata [18,1”