Benkhettou, NadiaLazreg, Jamal EddineBenchohra, MouffakKarapinar, Erdal02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2023-12-182025-09-182023-12-182025-09-182023Karapinar, Erdal...et.al. (2023). "Fractional differential equations with maxima on time scale via Picard operators", Filomat, Vol.37, vol.2, pp.393-402.0354-5180https://doi.org/10.2298/FIL2302393Khttps://hdl.handle.net/20.500.12416/13911In this paper, we prove a result of existence and uniqueness of solutions for the following class of problem of initial value for differential equations with maxima and Caputo's fractional order on the time scales:c increment omega a u(& thetasym;) = zeta(& thetasym;, u(& thetasym;), max sigma E[a,& thetasym;] u(sigma)), & thetasym; E J : = [a,b]T, 0 < omega <1,u(a) = phi,We used the techniques of the Picard and weakly Picard operators to obtain some data dependency on the parameters results.eninfo:eu-repo/semantics/openAccessFractional Differential EquationsExistenceTime ScalePicard OperatorInitial Value ProblemMaximaFixed PointArticle10.2298/FIL2302393K2-s2.0-85146691392