Mild solution in the \(\alpha\)-norm for some partial integrodifferential equations involving a nonlocal condition

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20)

Cites Work

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Existence, regularity and compactness properties in the \(\alpha\)-norm for some partial functional integrodifferential equations with finite delay
Semigroups of linear operators and applications to partial differential equations
Analytic resolvent operators for integral equations in Banach space
Some considerations for linear integrodifferential equations
Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
Non-autonomous integrodifferential equations with non-local conditions
Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces
Semilinear integrodifferential equations with nonlocal initial conditions
Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
Resolvent Operators for Integral Equations in a Banach Space
Determination of an unknown function in a parabolic equation with an overspecified condition
Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions
On heat conduction in materials with memory
Existence and uniqueness of mild and strong solutions of nonlinear integro-differential equations with nonlocal condition

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