Ulam stability for nonlinear-Langevin fractional differential equations involving two fractional orders in the ψ-Caputo sense

DOI10.1080/00036811.2021.1873300OpenAlexW3123720740WikidataQ115315999 ScholiaQ115315999MaRDI QIDQ5867287

Mohammed M. Matar, Z. Baitiche, Choukri Derbazi

Publication date: 13 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1873300

zbMATH Keywords

existenceuniquenessLangevin equationfixed point theoremsUlam stability\(\psi\)-Caputo fractional derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (9)

On the generalized fractional snap boundary problems via \(G\)-Caputo operators: existence and stability analysis ⋮ Multipoint BVP for the Langevin equation under \(\varphi\)-Hilfer fractional operator ⋮ Some new uniqueness and Ulam stability results for a class of multiterms fractional differential equations in the framework of generalized Caputo fractional derivative using the Φ-fractional Bielecki-type norm ⋮ 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 stability analysis for Caputo generalized hybrid Langevin differential systems involving three-point boundary conditions ⋮ ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders ⋮ Existence and Ulam–Hyers stability results for nonlinear fractional Langevin equation with modified argument ⋮ Stability analysis and existence criteria with numerical illustrations to fractional jerk differential system involving generalized Caputo derivative ⋮ Some qualitative analyses of neutral functional delay differential equation with generalized Caputo operator

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