Single upper-solution or lower-solution method for Langevin equations with two fractional orders

DOI10.1186/s13662-018-1837-yzbMath1448.34028OpenAlexW2896347666WikidataQ129107620 ScholiaQ129107620MaRDI QIDQ1716071

Pingping Li, Hong-Yu Li, Cheng-Bo Zhai

Publication date: 29 January 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-018-1837-y

zbMATH Keywords

initial value problemnonnegative solutionsmonotone iterativefractional Langevin equationsingle upper-solution or lower-solution method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (12)

Unique positive solution for a \(p\)-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral ⋮ On implicit impulsive Langevin equation involving mixed order derivatives ⋮ Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives ⋮ Theories of tempered fractional calculus applied to tempered fractional Langevin and Vasicek equations ⋮ ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders ⋮ Langevin differential equations with general fractional orders and their applications to electric circuit theory ⋮ Fractional Langevin equations with nonseparated integral boundary conditions ⋮ EXISTENCE RESULTS OF SOLUTIONS FOR ANTI-PERIODIC FRACTIONAL LANGEVIN EQUATION ⋮ Positive solutions for a class of fractional difference systems with coupled boundary conditions ⋮ Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions ⋮ Positive solutions for a system of fractional integral boundary value problems involving Hadamard-type fractional derivatives ⋮ Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense

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