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On Nonlinear Integrals

1988; Elsevier BV; Linguagem: Inglês

10.1016/s0304-0208(08)71328-8

2212-1048

Chew Tuan Seng,

Fractional Differential Equations Solutions

Abstract Nonlinear integrals of Denjoy type and Perron type are given in this note. It is shown that these two nonlinear integrals, as in the linear case, are equivalent to nonlinear integrals of Henstock-Kurzweil type. In this note, it is also shown that a nonlinear measure is nothing but a linear integral of a kernel function.