Solvability of Sturm-Liouville boundary value problems for multiple order fractional differential equations
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Publication:296198
DOI10.1016/j.ajmsc.2015.08.001zbMath1362.34016OpenAlexW1437425705MaRDI QIDQ296198
Liuman Ou, Shengping Chen, Yuji Liu
Publication date: 15 June 2016
Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ajmsc.2015.08.001
Leray-Schauder alternative principle\(\beta\)-well function\(L_\alpha^1\) function spacemultiple order fractional differential equationSturm-Liouville boundary value problems
Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)
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Cites Work
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- On the solution of the fractional nonlinear Schrödinger equation
- Existence and multiplicity of positive solutions to nonlinear boundary value problems
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Fractional order differential equations on an unbounded domain
- The existence of a positive solution for a nonlinear fractional differential equation
- Triple positive solutions for boundary value problem of a nonlinear fractional differential equation
- Differential equations of fractional order:methods results and problem —I
- Positive solutions of a boundary value problem for a nonlinear fractional differential equation
- On the Existence of Positive Solutions of Ordinary Differential Equations
- Existence of three positive solutions for boundary value problems of singular fractional differential equations
