STABILITY ANALYSIS OF HYBRID LANGEVIN EQUATION VIA TWO FRACTIONAL OPERATORS

Lamya Almaghamsi ()
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Lamya Almaghamsi: Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 06, 1-13

Abstract: In this paper, we study a nonlinear hybrid fractional order Langevin equation with nonperiodic and nonlocal integral boundary conditions, employing the Caputo–Hadamard fractional operators. This work demonstrates the existence and uniqueness (EU) of solutions and the Hyers–Ulam (HU) stability of the suggested equation’s solution. We utilized Krasonoselskii’s fixed point theorem and the Banach contraction mapping principle to arrive at our primary finding. Moreover, we have included an application that validates the reliability of our findings.

Keywords: Fractional Langevin Equation; Krasonoselskii’s Fixed Point Theorem; Hyers–Ulam (HU) Stability; Banach Contraction Mapping Principle (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401097

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