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- W2955370624 abstract "In this paper, we are dedicated to investigating a new class of one-dimensional lower-order fractional q-differential equations involving integral boundary conditions supplemented with Stieltjes integral. This condition is more general as it contains an arbitrary order derivative. It should be pointed out that the problem discussed in the current setting provides further insight into the research on nonlocal and integral boundary value problems. We first give the Green's functions of the boundary value problem and then develop some properties of the Green's functions that are conductive to our main results. Our main aim is to present two results: one considering the uniqueness of nontrivial solutions is given by virtue of contraction mapping principle associated with properties of u0-positive linear operator in which Lipschitz constant is associated with the first eigenvalue corresponding to related linear operator, while the other one aims to obtain the existence of multiple positive solutions under some appropriate conditions via standard fixed point theorems due to Krasnoselskii and Leggett–Williams. Finally, we give an example to illustrate the main results." @default.
- W2955370624 created "2019-07-12" @default.
- W2955370624 creator A5035497567 @default.
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- W2955370624 date "2019-06-27" @default.
- W2955370624 modified "2023-09-25" @default.
- W2955370624 title "Nonlocal q-fractional boundary value problem with Stieltjes integral conditions" @default.
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- W2955370624 doi "https://doi.org/10.15388/na.2019.4.6" @default.
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