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Nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations

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This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool… Click to show full abstract

This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is topological degree theory. Some examples explain that our results cannot be obtained by the method of cone theory.

Keywords: nontrivial solutions; problems nonlinear; solutions nonlocal; boundary value; nonlocal boundary; value problems

Journal Title: Journal of Applied Analysis and Computation
Year Published: 2018

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