Multiplicity of positive solutions for coupled system of fractional differential equation with \(p\)-Laplacian two-point BVPs

DOI10.1007/s12190-016-1024-9zbMath1378.34019OpenAlexW2418118564WikidataQ115377194 ScholiaQ115377194MaRDI QIDQ1677118

Sabbavarapu Nageswara Rao

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1024-9

zbMATH Keywords

coneGreen's functionfixed point theorems\(p\)-Laplacian operatorfractional differential equationmultiple positive solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (7)

Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator ⋮ Multiple positive solutions for a system of Caputo fractional \(p\)-Laplacian boundary value problems ⋮ Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator ⋮ Solvability of positive solutions for a systems of nonlinear fractional order BVPs with \(p\)-Laplacian ⋮ Existence of positive solutions for systems of nonlinear fractional differential equation with p-Laplacian ⋮ Monotone iterative technique for a coupled system of nonlinear Hadamard fractional differential equations ⋮ Solvability for a class of nonlinear Hadamard fractional differential equations with parameters

Cites Work

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• Existence of positive solutions for the system of higher order two-point boundary value problems
• Existence of positive solutions for nonlinear fractional functional differential equation
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• Existence and multiplicity of positive solutions for singular fractional boundary value problems
• Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with \(p\)-Laplacian
• Existence of multiple positive solutions for one-dimensional \(p\)-Laplacian
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• Positive solutions for third-order Sturm-Liouville boundary value problems with \(p\)-Laplacian
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of three positive pseudo-symmetric solutions for a one dimensional \(p\)-Laplacian
• Multiple positive solutions for a coupled system of \(p\)-Laplacian fractional order two-point boundary value problems
• Existence of positive solutions for Riemann–Liouville fractional order three-point boundary value problem
• Fractional-order boundary value problem with Sturm-Liouville boundary conditions
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