Positive solutions of a singular fractional boundary value problem with a fractional boundary condition

DOI10.7494/OpMath.2017.37.3.421zbMath1368.34012OpenAlexW2580348220MaRDI QIDQ5737973

Jeffrey T. Neugebauer, Jeffrey W. Lyons

Publication date: 31 May 2017

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7494/opmath.2017.37.3.421

zbMATH Keywords

fixed point theoremsingular problemfractional differential equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Fractional ordinary differential equations (34A08)

Related Items

Multiplicity and asymptotic behavior of solutions to a class of Kirchhoff-type equations involving the fractional \(p\)-Laplacian ⋮ A medium-shifted splitting iteration method for a diagonal-plus-Toeplitz linear system from spatial fractional Schrödinger equations ⋮ Existence of solution for integral boundary value problems of fractional differential equations ⋮ Solutions for a class of fractional Langevin equations with integral and anti-periodic boundary conditions ⋮ Energy solutions and concentration problem of fractional Schrödinger equation ⋮ Existence of a positive solution for a singular fractional boundary value problem with fractional boundary conditions using convolution and lower order proble ⋮ Positive solutions of singular Hadamard-type fractional differential equations with infinite-point boundary conditions or integral boundary conditions ⋮ Two point fractional boundary value problems with a fractional boundary condition ⋮ Unnamed Item ⋮ Boundary value problems of fractional \(q\)-difference equations on the half-line ⋮ Forced oscillation of fractional differential equations via conformable derivatives with damping term ⋮ Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings ⋮ Solvability for a class of nonlinear Hadamard fractional differential equations with parameters ⋮ Multiple positive solutions for mixed fractional differential system with \(p\)-Laplacian operators ⋮ On the existence of positive solutions for generalized fractional boundary value problems

Cites Work

• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications