Existence and Uniqueness Theorem for a Class of Delay Differential Equations With Left and Right Caputo Fractional Derivatives

Abdeljawad, ThabetBaleanu, DumitruJarad, Fahd2020-04-032025-09-182020-04-032025-09-182008Abdeljawad, Thabet; Baleanu, Dumitru; Jarad Fahd, "Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives", Journal Of Mathematical Physics, Vol.49, No.8, (2008).0022-24881089-7658https://doi.org/10.1063/1.2970709https://hdl.handle.net/20.500.12416/14230Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623The existence and uniqueness theorems for functional right-left delay. and left-right advanced fractional functional differential equations with bounded delay and advance, respectively, are proved. The continuity with respect to the initial function for these equations is also proved under some Lipschitz kind conditions. The Q-operator is used to transform the delay-type equation to an advanced one and vice versa. An example is given to clarify the results. (C) 2008 American Institute Of Physics.eninfo:eu-repo/semantics/closedAccessExistence and Uniqueness Theorem for a Class of Delay Differential Equations With Left and Right Caputo Fractional DerivativesExistence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivativesArticle10.1063/1.29707092-s2.0-50849097037