New existence and stability results for fractional Langevin equation with three-point boundary conditions

DOI10.1007/s40314-020-01411-4zbMath1476.34020OpenAlexW3132640312MaRDI QIDQ1983872

Hossein Fazli, Juan. J. Nieto, Hong-Guang Sun

Publication date: 10 September 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01411-4

zbMATH Keywords

existenceuniquenessHyers-Ulam stabilityfractional Langevin equationPrabhakar integral operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (6)

On mild solutions of the p-Laplacian fractional Langevin equations with anti-periodic type boundary conditions ⋮ Controllability results for a class of piecewise nonlinear impulsive fractional dynamic systems ⋮ Some new properties of the Mittag-Leffler functions and their applications to solvability and stability of a class of fractional Langevin differential equations ⋮ Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument ⋮ Unnamed Item ⋮ Fréchet-Kolmogorov compactness of Prabhakar integral operator

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