Some new existence results for fractional differential inclusions with boundary conditions

Existence Results for Fractional Differential Inclusions With Separated Boundary Conditions

“…Remark 3.2. The results of reference [7] appear as a special case of the results of this paper if we choose α = 1, β = 0 in (1.1).…”

“…and are widely studied by many authors, see [7,20,25] and the references therein. For some recent development on differential inclusions, we refer the reader to the references [8-9, 13, 19, 21].…”

Fractional differential inclusions with fractional separated boundary conditions

“…For some recent works on the topic, see ( [1, 2, 3, 4, 5, 7, c 2012 Diogenes Co., Sofia pp. 362-382 , DOI: 10.2478/s13540-012-0027-y 8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,27,31,35,36,37,38]) and references therein.…”

Fractional Order Differential Inclusions via the Topological Transversality Method

“…(see [11,16,20,24,27,28]). There has been a significant development in fractional differential equations and inclusions in recent years; see the monographs of Kilbas et al [21], Lakshmikantham et al [22], Miller and Ross [25], Podlubny [28], Samko et al [29] and the survey by Agarwal et al [1], Benchohra et al [5,6,7], Chang and Nieto [10], Diethelm et al [11,12], Ouahab [26], Yu and Gao [30] and Zhang [31] and the references therein. Very recently, in [4,8] the authors studied the existence and uniqueness of solutions of some classes of functional differential equations with infinite delay and fractional order, and in [3] a class of perturbed functional differential equations involving the Caputo fractional derivative has been considered.…”