A new class of mild and strong solutions of integro-differential equation of arbitrary order in Banach space

Diego F. Gomes, E. Capelas de Oliveira, J. Vanterler da Costa Sousa

Publication date: 1 October 2024

Published in: Palestine Journal of Mathematics (Search for Journal in Brave)

existence and uniqueness Banach fixed point theorem Gronwall inequality fractional integro-differential equations continuously \(C_0\)-semigroup mild and strong solution

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fixed-point theorems (47H10) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

Cites Work

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