Existence and uniqueness of mild solutions to a semilinear integrodifferential equation of fractional order

DOI10.1016/j.na.2009.04.058zbMath1179.45010OpenAlexW2017001470MaRDI QIDQ732587

Yong-Kui Chang, Mani Mallika Arjunan, Velusamy Kavitha

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.058

zbMATH Keywords

integro-differential equationsexistenceuniquenessBanach contraction principlemild solutionsfixed point theoremfractional differential equationsnonlocal initial condition

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

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