Integral equations and initial value problems for nonlinear differential equations of fractional order

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The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces (2010, background): “In fact fractional differential equations are considered as models alternative to nonlinear differential equations [1] and other kinds of equations [2] [3] [4].”
Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator (2012, background): “For some recent contributions on fractional differential equations, see for example, [10-28] and the references therein.”
On the existence of solutions of fractional integro-differential equations (2011, unknown): “Also, Samko et al. [35], Anguraj et al. [4], Baleanu and Mustafa [9], Diethelm and Ford [15], Kilbas and Marzan [17], Kosmatov [21], Tian and Bai [39], Wei et al. [40], Aghajani et al. [3], Pilipović and Stojanović [30], Yuste and Acedo [41], Idczak and Kamocki [16], and Kostić [22], between so m”
Existence of solutions of initial value problems for nonlinear fractional differential equations on (2011, background): “[16], Ouahab [17], El-Sayed [18–20], Nieto [21], Li and Deng [22], Kosmatov [23], Muslim [24], Stojanović [25], Delbosco and Rodino [26] and Babakhani and Gejji [27].”