The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems

Dumitru Baleanu, Sayyedeh Zahra Nazemi and Shahram Rezapour

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We discuss the existence of positive solutions for the coupled system of multiterm singular fractional integrodifferential boundary value problems D0+αu(t)+f1(t,u(t),v(t),(ϕ1u)(t),(ψ1v)(t),D0+pu(t),D0+μ1v(t),D0+μ2v(t),…,D0+μmv(t))=00,D0+βv(t)+f2(t,u(t),v(t),(ϕ2u)(t),(ψ2v)(t),D0+qv(t),D0+ν1u(t),D0+ν2u(t),…,D0+νmu(t))=, u(i)(0) = 0 and v(i)(0) = 0 for all 0 ≤ i ≤ n − 2, [D0+δ1u(t)] t=1=0 for 2

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:368659

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