Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative

DOI10.1016/j.cnsns.2012.04.010zbMath1263.35216OpenAlexW1992574746WikidataQ115358682 ScholiaQ115358682MaRDI QIDQ1948185

Yanyan Li

Publication date: 2 May 2013

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.04.010

zbMATH Keywords

conefixed pointpositive solutionfractional differential equationAvery-Peterson fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (9)

The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems ⋮ Nonlocal problems of fractional systems involving left and right fractional derivatives at resonance ⋮ Existence of solutions of four-point boundary value problems for fractional differential equations at resonance ⋮ Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay ⋮ Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance ⋮ Existence and uniqueness of the solutions for fractional differential equations with nonlinear boundary conditions ⋮ Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives ⋮ Electrical analogous in viscoelasticity ⋮ SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE

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