Existence results for nonlinear fractional Dirichlet problems on the right side of the first eigenvalue

DOI10.1515/gmj-2016-0086zbMath1362.34012OpenAlexW2582142064MaRDI QIDQ516928

Zakaria Hamdi, Alberto Cabada

Publication date: 15 March 2017

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2016-0086

zbMATH Keywords

Green's functionpositive solutionspectral theoryfractional differential equationsMittag-Leffler functionssublinear conditionsuperlinear condition

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (4)

Existence and multiplicity of solutions for boundary value problem of singular two-term fractional differential equation with delay and sign-changing nonlinearity ⋮ Extremal solutions of nonlinear functional discontinuous fractional equations ⋮ Existence and uniqueness of positive solutions for nonlinear fractional mixed problems ⋮ Existence results for systems of conformable fractional differential equations

Uses Software

• Green

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New fixed point theorems on order intervals and their applications
• Nonlinear fractional differential equations with integral boundary value conditions
• An overview of the lower and upper solutions method with nonlinear boundary value conditions
• Nonlinear two-term time fractional diffusion-wave problem
• Nonlocal Cauchy problem for fractional evolution equations
• Basic theory of fractional differential equations
• An existence result for nonlinear fractional differential equations on Banach spaces
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the number of positive solutions of nonlinear systems.
• Multiplicity results for integral boundary value problems of fractional order with parametric dependence
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
• A Problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator
• Green’s Functions in the Theory of Ordinary Differential Equations
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Existence results for nonlinear fractional Dirichlet problems on the right side of the first eigenvalue