Belmor, SamihaRavichandran, ChokkalingamJarad, Fahd2022-08-242022-08-242021Belmor, Samiha; Ravichandran, Chokkalingam; Jarad, Fahd (2021). "Nonlinear generalized fractional differential equations with generalized fractional integral conditions", JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, Vol. 14, No. 1, pp. 114-123.1658-3655http://hdl.handle.net/20.500.12416/5759This research work is dedicated to an investigation of the existence and uniqueness of a class of nonlinear psi-Caputo fractional differential equation on a finite interval , equipped with nonlinear psi-Riemann-Liouville fractional integral boundary conditions of different orders , we deal with a recently introduced psi-Caputo fractional derivative of order . The formulated problem will be transformed into an integral equation with the help of Green function. A full analysis of existence and uniqueness of solutions is proved using fixed point theorems: Leray-Schauder nonlinear alternative, Krasnoselskii and Schauder's fixed point theorems, Banach's and Boyd-Wong's contraction principles. We show that this class generalizes several other existing classes of fractional-order differential equations, and therefore the freedom of choice of the standard fractional operator. As an application, we provide an example to demonstrate the validity of our results.eninfo:eu-repo/semantics/openAccessPsi-Fractional IntegralPsi-Riemann-Liouville Fractional DerivativePsi-Caputo Fractional DerivativeArticle14111412310.1080/16583655.2019.1709265