Existence and approximation of solution to stochastic fractional integro-differential equation with impulsive effects

DOI10.1007/s13348-017-0199-1zbMath1391.34131OpenAlexW2616239307WikidataQ115375997 ScholiaQ115375997MaRDI QIDQ1752911

Dwijendra Narain Pandey, Renu Chaudhary

Publication date: 24 May 2018

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-017-0199-1

zbMATH Keywords

Hilbert spacemild solutionanalytic semigroupBanach fixed point theoremFaedo-Galerkin approximationsstochastic fractional integro-differential equation with impulsive effects

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Theoretical approximation of solutions to functional-differential equations (34K07) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

Approximation of solutions to fractional stochastic integro-differential equations of order α ∈ (1,2] ⋮ Partial approximate controllability results for fractional order stochastic evolution equations using approximation method ⋮ Existence of solution for Volterra–Fredholm type stochastic fractional integro‐differential system of order μ ∈ (1, 2) with sectorial operators ⋮ Qualitative behaviour of stochastic integro-differential equations with random impulses ⋮ Asymptotic properties of solutions for impulsive neutral stochastic functional integro-differential equations ⋮ Unnamed Item ⋮ Faedo-Galerkin method for impulsive second-order stochastic integro-differential systems

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