On a class of retarded integro-differential equations with nonlocal initial conditions

DOI10.1016/j.camwa.2010.04.003zbMath1208.45004OpenAlexW1998344975MaRDI QIDQ603995

Rong-Nian Wang, De-Han Chen

Publication date: 8 November 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.04.003

zbMATH Keywords

Cauchy problemglobal solutiontime delaysBanach spacenonlocal initial conditionsRiemann-Liouville fractional integralsolution operatorfractional integro-differential equation

Mathematics Subject Classification ID

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

Related Items (11)

Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces ⋮ Existence results for a class of semilinear nonlocal evolution equations ⋮ A Numerical Approach for Solving High-Order Linear Delay Volterra Integro-Differential Equations ⋮ Existence of mild solutions for a semilinear integrodifferential equation with nonlocal initial conditions ⋮ A study on non-autonomous second order evolution equations with nonlocal conditions ⋮ Fractional integro-differential equations with state-dependent delay on an unbounded domain ⋮ On fractional integro-differential inclusions with state-dependent delay in Banach spaces ⋮ A Global Existence and Uniqueness Result for Functional Integro-Differential Equations in Banach Spaces ⋮ On the singular impulsive functional integral equations involving nonlocal conditions ⋮ Mild solutions of non-autonomous second order problems with nonlocal initial conditions ⋮ Stability for a class of fractional partial integro-differential equations

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