dc.contributor.author | Afshari, Hojjat![]() |
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dc.contributor.author | Sajjadmanesh, Mojtaba![]() |
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dc.contributor.author | Baleanu, Dumitru![]() |
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dc.date.accessioned | 2021-01-29T11:15:13Z | |
dc.date.available | 2021-01-29T11:15:13Z | |
dc.date.issued | 2020-02-11 | |
dc.identifier.citation | Afshari, Hojjat; Sajjadmanesh, Mojtaba; Baleanu, Dumitru (2020). "Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives", Advances in Difference Equations, Vol. 2020, No. 1. | tr_TR |
dc.identifier.issn | 1687-1847 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/4511 | |
dc.description.abstract | In this paper we study the existence of unique positive solutions for the following coupled system: {Da0 + x(t) + f1(t, x(t), D. 0+ x(t)) + g1(t, y(t)) = 0, D beta 0+ y(t) + f2(t, y(t), D. 0+ y(t)) + g2(t, x(t)) = 0, t. (0, 1), n - 1 < a, beta < n; x(i)(0) = y(i)(0) = 0, i = 0, 1, 2,..., n - 2; [D. 0+ y(t)] t=1 = k1(y(1)), [D. 0+ x(t)] t=1 = k2(x(1)), where the integer number n > 3 and 1 =. =. = n - 2, 1 =. =. = n - 2, f1, f2 : [0, 1] xR+ xR+. R+, g1, g2 : [0, 1] xR+. R+ and k1, k2 : R+. R+ are continuous functions, Da0 + and D beta 0+ stand for the Riemann-Liouville derivatives. An illustrative example is given to show the effectiveness of theoretical results. | tr_TR |
dc.language.iso | eng | tr_TR |
dc.relation.isversionof | 10.1186/s13662-020-02568-2 | tr_TR |
dc.rights | info:eu-repo/semantics/openAccess | tr_TR |
dc.subject | Fractional Differential Equation | tr_TR |
dc.subject | Mixed Monotone Operator | tr_TR |
dc.subject | Normal Cone | tr_TR |
dc.subject | Coupled System | tr_TR |
dc.title | Existence and uniqueness of positive solutions for a new class of coupled system via fractional derivatives | tr_TR |
dc.type | article | tr_TR |
dc.relation.journal | Advances in Difference Equations | tr_TR |
dc.contributor.authorID | 56389 | tr_TR |
dc.identifier.volume | 2020 | tr_TR |
dc.identifier.issue | 1 | tr_TR |
dc.contributor.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |