Existence of extremal solutions of fractional Langevin equation involving nonlinear boundary conditions

DOI10.1080/00207160.2020.1720662zbMath1498.34024OpenAlexW3001117513WikidataQ126288521 ScholiaQ126288521MaRDI QIDQ5031229

Sima Aghchi, Hossein Fazli, Hong-Guang Sun

Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1720662

zbMATH Keywords

existenceextremal solutionsnonlinear boundary conditionsCaputo fractional derivativefractional Langevin equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Mittag-Leffler functions and generalizations (33E12) Parameter dependent boundary value problems for ordinary differential equations (34B08) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (10)

A positive and bounded convergent scheme for general space-fractional diffusion-reaction systems with inertial times ⋮ Existence and continuity results for a nonlinear fractional Langevin equation with a weakly singular source ⋮ On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions ⋮ Unnamed Item ⋮ The generalized nonlocal boundary condition for fractional Langevin equation with a weakly singular source ⋮ Unnamed Item ⋮ New existence and stability results for fractional Langevin equation with three-point boundary conditions ⋮ Unnamed Item ⋮ Numerical approximations for space-time fractional Burgers' equations via a new semi-analytical method ⋮ ON THE NONLINEAR GENERALIZED LANGEVIN EQUATION INVOLVING ψ-CAPUTO FRACTIONAL DERIVATIVES

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