\(\varPsi\)-Bielecki-type norm inequalities for a generalized Sturm-Liouville-Langevin differential equation involving \(\varPsi\)-Caputo fractional derivative

DOI10.1186/S13661-024-01863-1MaRDI QIDQ6587688

Brahim Tellab, Sh. Rezapour, Sina Etemad, Hacen Serrai, İbrahim Avcı

Publication date: 14 August 2024

Published in: Boundary Value Problems (Search for Journal in Brave)

zbMATH Keywords

fixed point theoremsgeneralized Gronwall inequalityUlam stabilityfractional Langevin equationfractional Sturm-Liouville equation\(\varPsi\)-Bielecki-type norm\(\varPsi\)-Caputo derivative

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Fixed-point theorems (47H10) Perturbations of ordinary differential equations (34D10) Parameter dependent boundary value problems for ordinary differential equations (34B08) Inequalities involving derivatives and differential and integral operators (26D10) Fractional ordinary differential equations (34A08)

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Related Items (2)

Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability ⋮ A generalized contraction mapping applied for existence results for ordinary hybrid version of a generalized Sturm-Liouville-Langevin equations under \(\Psi \)-Hilfer fractional-order derivative

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