Multiple positive solutions for nonlinear high-order Riemann-Liouville fractional differential equations boundary value problems with \(p\)-Laplacian operator

DOI10.1186/s13661-020-01336-1zbMath1495.34048OpenAlexW3031661698MaRDI QIDQ2126552

Nan Zhang, Emmanuel Addai, Bibo Zhou, Ling-Ling Zhang

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-020-01336-1

zbMATH Keywords

\(p\)-Laplacian operatormultiple positive solutionsRiemann-Liouville fractional differential equationsLeggett-Williams fixed point theorem

Mathematics Subject Classification ID

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 (11)

On a new fixed point theorem with an application on a coupled system of fractional differential equations ⋮ Existence-uniqueness and monotone iteration of positive solutions to nonlinear tempered fractional differential equation with \(p\)-Laplacian operator ⋮ On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ Fractal-fractional order dynamics and numerical simulations of a Zika epidemic model with insecticide-treated nets ⋮ Unnamed Item ⋮ Multiple positive solutions and stability results for nonlinear fractional delay differential equations involving p ‐Laplacian operator ⋮ Existence and stability for a nonlinear coupled \(p\)-Laplacian system of fractional differential equations ⋮ Local existence-uniqueness and monotone iterative approximation of positive solutions for \(p\)-Laplacian differential equations involving tempered fractional derivatives ⋮ Existence and monotone iteration of unique solution for tempered fractional differential equations Riemann-Stieltjes integral boundary value problems ⋮ Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance ⋮ Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter

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