@article{article_1425019, title={A Class of Implicit Fractional $\psi$-Hilfer Langevin Equation with Time Delay and Impulse in the Weighted Space}, journal={Communications in Advanced Mathematical Sciences}, volume={7}, pages={88–103}, year={2024}, DOI={10.33434/cams.1425019}, author={Louakar, Ayoub and Kajounı, Ahmed and Hilal, Khalid and Lmou, Hamid}, keywords={Existence and uniqueness, Generalized Gronwall inequality, $\psi$-Hilfer Langevin equation, Picard operator theory, Ulam-Hyers-Rassias stability}, abstract={In this paper, the Ulam-Hyers-Rassias stability is discussed and the existence and uniqueness of solutions for a class of implicit fractional $\psi$-Hilfer Langevin equation with impulse and time delay are investigated. A novel form of generalized Gronwall inequality is introduced. Picard operator theory is employed in authour’s analysis. An example will be given to support the validity of our findings.}, number={2}, publisher={Emrah Evren KARA}, organization={No funding supporting.}