On the Existence and the Uniqueness Theorem for Fractional Differential Equations With Bounded Delay Within Caputo Derivatives

Abdeljawad, ThabetJarad, FahdBaleanu, Dumitru2016-04-122025-09-182016-04-122025-09-182008Abdeljawad, T., Jarad, F., Baleanu, D. (2008). On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives. Science in China Series A-Mathematics, 51(10), 1775-1786. http://dx.doi.org/10.1007/s11425-008-0068-11006-92831862-2763https://doi.org/10.1007/s11425-008-0068-1https://hdl.handle.net/20.500.12416/12965Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed.eninfo:eu-repo/semantics/closedAccessFractional Caputo DerivativeC-R-ConditionDelayLipschitzOn the Existence and the Uniqueness Theorem for Fractional Differential Equations With Bounded Delay Within Caputo DerivativesOn the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivativesArticle10.1007/s11425-008-0068-12-s2.0-51349163238