Existence criteria of solutions for a fractional nonlocal boundary value problem and degeneration to corresponding integer-order case

DOI10.1186/s13662-018-1857-7zbMath1448.34018OpenAlexW2899960178WikidataQ128978020 ScholiaQ128978020MaRDI QIDQ1715495

Huihui Pang, Chaoqun Gao, Zihan Gao

Publication date: 4 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1857-7

zbMATH Keywords

Green's functionmonotone iterative techniquefractional differential equationsLeray-Schauder alternative principlemulti-strip integral boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) 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

Positive solutions to \(n\)-dimensional \(\alpha_1+\alpha_2\) order fractional differential system with \(p\)-Laplace operator ⋮ Positive solutions to a coupled fractional differential system with \(p\)-Laplacian operator

Uses Software

• R
• Stata
• SAS

Cites Work

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• Multiple positive solutions for nonlocal boundary value problems of singular fractional differential equations
• On higher-order nonlinear boundary value problems with nonlocal multipoint integral boundary conditions
• Existence of positive solutions for a third-order multipoint boundary value problem and extension to fractional case
• Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions
• Existence results for a coupled system of nonlinear fractional boundary value problems at resonance
• Positive solutions to boundary value problems of \(p\)-Laplacian with fractional derivative
• Infinitely many singularities and denumerably many positive solutions for a second-order impulsive Neumann boundary value problem
• Multivariable regression model building by using fractional polynomials: description of SAS, STATA and R programs
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• Existence result of second-order differential equations with integral boundary conditions at resonance
• Existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition
• A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses
• Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions
• Systems of Riemann-Liouville fractional equations with multi-point boundary conditions
• Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables
• Rogue waves for a variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics
• Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
• Existence results for the fractional differential equations with multi-strip integral boundary conditions
• Positive solutions for a class of fractional differential equations with integral boundary conditions
• Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions
• Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter
• Positive solutions for multi-point boundary value problems of fractional differential equations with p-Laplacian