Existence result for a class of coupled fractional differential systems with integral boundary value conditions

DOI10.22436/jnsa.010.07.52zbMath1412.34082OpenAlexW2740276636MaRDI QIDQ4631353

Yansheng Liu, Yumei Zou, TingTing Qi

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.07.52

zbMATH Keywords

coincidence degreeRiemann-Stieltjes integralboundary value conditionscoupled fractional differential systems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A coupled system of fractional differential equations with nonlocal integral boundary conditions
• Existence of positive solutions for the boundary value problem of nonlinear fractional differential equations
• On a sign-changing solution for some fractional differential equations
• Existence of solutions for nonlinear fractional three-point boundary value problems at resonance
• Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance
• The existence of solutions for a fractional multi-point boundary value problem
• Uniqueness of solution for boundary value problems for fractional differential equations
• The existence of solutions for four-point coupled boundary value problems of fractional differential equations at resonance
• Existence of solutions for coupled integral boundary value problem at resonance

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