On a class of Langevin equations in the frame of Caputo function-dependent-kernel fractional derivatives with antiperiodic boundary conditions

DOI10.3934/MATH.2021327zbMath1484.34017OpenAlexW3137889431MaRDI QIDQ2133288

Abdelatif Boutiara, Manar A. Alqudah, Mohammed S. Abdo, Thabet Abdeljawad

Publication date: 29 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021327

zbMATH Keywords

fixed point theorem\( \vartheta \)-Caputo-type fractional Langevin equationexistence and U-H stability

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (4)

On solutions of hybrid-Sturm-Liouville-Langevin equations with generalized versions of Caputo fractional derivatives ⋮ Investigating a class of generalized Caputo-type fractional integro-differential equations ⋮ Multipoint BVP for the Langevin equation under \(\varphi\)-Hilfer fractional operator ⋮ Some new properties of the Mittag-Leffler functions and their applications to solvability and stability of a class of fractional Langevin differential equations

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