Dhandapani, SwathiUmapathi, Karthik RajaMathuraiveeran, JeyaramanShah, KamalAbdeljawad (Maraaba) T., ThabetJarad, Fahd2025-10-062025-10-0620251229-15952466-0973https://doi.org/10.22771/nfaa.2025.30.02.01https://hdl.handle.net/20.500.12416/15676In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivative with non-local conditions. An numerical example is given to clarify the results. © 2025 Elsevier B.V., All rights reserved.eninfo:eu-repo/semantics/closedAccessCaputo DerivativeExistenceFixed PointFractional CalculusImpulsiveInitial Value ProblemStudy of Impulsive Problem with Caputo Fractional Derivative Involving Nonlocal Conditions Using Fixed Point TheoryArticle10.22771/nfaa.2025.30.02.012-s2.0-105015158179