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Nontrivial solution of fractional differential system involving Riemann-Stieltjes integral condition - MaRDI portal

Nontrivial solution of fractional differential system involving Riemann-Stieltjes integral condition (Q1938284)

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scientific article; zbMATH DE number 6134152
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Nontrivial solution of fractional differential system involving Riemann-Stieltjes integral condition
scientific article; zbMATH DE number 6134152

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    Nontrivial solution of fractional differential system involving Riemann-Stieltjes integral condition (English)
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    4 February 2013
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    Summary: We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving a Riemann-Stieltjes integral condition. By using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions for the existence and uniqueness of a nontrivial solution of a system are obtained.
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