Existence and uniqueness of solutions for a nonlinear fractional initial value problem involving Caputo derivatives

DOI10.23952/jnva.2.2018.1.03zbMath1462.47050OpenAlexW3022782421MaRDI QIDQ4619767

Belén López, Kishin Sadarangani, Jürgen Appell

Publication date: 7 February 2019

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.2.2018.1.03

zbMATH Keywords

singular integral equationCaputo derivativeBrowder fixed point theoremfractional initial value problemMatkowski fixed point theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of operator theory to differential and integral equations (47N20)

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On a generalized boundary value problem for a feedback control system with infinite delay ⋮ A continuous dependence of a solution set for fractional differential inclusions of an order \(q\in(1,2)\) on parameters and initial data ⋮ On antiperiodic boundary value problem for semilinear fractional differential inclusion with deviating argument in Banach space ⋮ An existence result for a periodic boundary value problem of fractional semilinear differential equations in a Banach space ⋮ Existence results for coupled nonlinear fractional differential equations of different orders with nonlocal coupled boundary conditions ⋮ On adjoint operators for fractional differentiation operators ⋮ On the existence of a solution for a periodic boundary value problem for semilinear fractional-order differential inclusions in Banach spaces

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