Lazreg, Jamal EddineBenkhettou, NadiaBenchohra, MouffakKarapinar, Erdal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-04-252025-09-182024-04-252025-09-182022Lazreg, Jamal Eddine;...et.al. (2022). "Neutral functional sequential differential equations with Caputo fractional derivative on time scales", Fixed Point Theory and Algorithms for Sciences and Engineering, Vol.2022, No.12730-5422https://doi.org/10.1186/s13663-022-00716-9https://hdl.handle.net/20.500.12416/14034In this paper, we establish the existence and uniqueness of a solution for a class of initial value problems for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, the nonlinear alternative of Leray-Schauder type and Krasnoselskii fixed point theorem. As applications, two examples are included to show the applicability of our results.eninfo:eu-repo/semantics/openAccessInitial Value ProblemCaputo'S Fractional DerivativeSequential Neutral Functional Differential EquationsFractional IntegralFixed PointExistenceTime ScaleArticle10.1186/s13663-022-00716-92-s2.0-85125641100