Three-point boundary value problems for the Langevin equation with the Hilfer fractional derivative

DOI10.1155/2020/9606428zbMath1495.34041OpenAlexW3022873965MaRDI QIDQ2246577

Athasit Wongcharoen, Bashir Ahmad, Sotiris K. Ntouyas, Jessada Tariboon

Publication date: 16 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9606428

zbMATH Keywords

fractional derivativesLangevin equationexistence and uniqueness of solutionsnon-local boundary value problemHilfer fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Ordinary differential inclusions (34A60) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (max. 100)

Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative ⋮ Nonlocal boundary value problems for \(\psi\)-Hilfer fractional-order Langevin equations ⋮ Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via \(\psi\)-Hilfer fractional derivative ⋮ Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions ⋮ Uniqueness of solutions for a \(\psi\)-Hilfer fractional integral boundary value problem with the \(p\)-Laplacian operator ⋮ Lyapunov-type inequalities for fractional Langevin differential equations ⋮ Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions ⋮ Unnamed Item ⋮ Hilfer-Hadamard nonlocal integro-multipoint fractional boundary value problems

Cites Work

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• Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
• Generalized Langevin equation revisited: mechanical random force and self-consistent structure
• The Langevin and Fokker–Planck Equations in Polymer Rheology
• Langevin equation with super-heavy-tailed noise
• The fractional oscillator process with two indices

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