Nonlocal boundary value problems of fractional order at resonance with integral conditions

DOI10.1186/s13662-017-1379-8zbMath1444.34046OpenAlexW2761385561WikidataQ59482793 ScholiaQ59482793MaRDI QIDQ1710068

Hai-E Zhang

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1379-8

zbMATH Keywords

resonanceRiemann-Stieltjes integralfractional differential equationcoincidence degree theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (3)

Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces ⋮ An efficient operational matrix technique to solve the fractional order non-local boundary value problems ⋮ Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions

Cites Work

• Existence theorems for semi-linear Caputo fractional differential equations with nonlocal discrete and integral boundary conditions
• Positive solutions of third-order nonlocal 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 to boundary value problems of fractional differential equations at resonance
• Solvability for a class of fractional \(m\)-point boundary value problem at resonance
• Solvability of fractional three-point boundary value problems with nonlinear growth
• Iterative solutions for fractional nonlocal boundary value problems involving integral conditions
• Multiplicity of positive solutions for singular three-point boundary value problems at resonance
• Positive solutions of multi-point boundary value problems at resonance
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions
• Nonlocal fractional boundary value problems with slit-strips boundary conditions
• ON THE RIEMANN-LIOUVILLE FRACTIONAL CALCULUS AND SOME RECENT APPLICATIONS
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• Positive solutions of some higher order nonlocal boundary value problems
• Non-local boundary value problems of arbitrary order
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