Boundary value problems for differential equations with fractional order and nonlocal conditions

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Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations (2020, methodology): “From (18), (19), and (23), it follows that the y defined by Equation (17) satisfies the problem (8)–(10).”
ON POSITIVE SOLUTIONS TO NONLOCAL FRACTIONAL AND INTEGER-ORDER DIFFERENCE EQUATIONS (2011, background): “We should also note in passing that there has recently appeared some works on continuous fractional BVPs with nonlocal conditions – see [11].”
Fractional boundary value problems with singularities in space variables (2012, positive): “There has been a significant development in the study of regular fractional boundary value problems on compact intervals [10–22] and noncompact intervals [23–25].”
Numerical solution for a class of fractional convection–diffusion equations using the flatlet oblique multiwavelets (2014, background): “(ZhuangandLiu, 2005) showanexplicit difference approximations for space–time fractional diffusion equation, there are a lot of works (Benchohra et al., 2009; N’Guérékata, 2009; Vasundhara Devi and Lakshmikantham, 2009; Zhong and Lin, 2010) on discussing boundary problems of fractional differential e”
A FOUR-POINT NONLOCAL INTEGRAL BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATIONS OF ARBITRARY ORDER (2011, background): “Some recent work on boundary value problems of fractional order can be found in [1, 2, 3, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 22] and the EJQTDE, 2011 No.”