Approximation of solutions to fractional stochastic integro-differential equations of order α ∈ (1,2]

DOI10.1080/17442508.2019.1625904zbMath1490.34072OpenAlexW2948643460MaRDI QIDQ5086487

No author found.

Publication date: 5 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2019.1625904

zbMATH Keywords

fractional differential equationsBanach fixed point theoremfinite delaycosine familyFaedo-Galerkin approximations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Theoretical approximation of solutions to functional-differential equations (34K07) Stochastic integral equations (60H20) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

Existence of solution for Volterra–Fredholm type stochastic fractional integro‐differential system of order μ ∈ (1, 2) with sectorial operators ⋮ Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space ⋮ Local and global existence and uniqueness of solution for abstract differential equations with state-dependent argument

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
• On the concept and existence of solution for impulsive fractional differential equations
• Faedo-Galerkin approximations to fractional integro-differential equation of order \(\alpha\in(1,2\) with deviated argument]
• Quasilinear elliptic equations with singular potentials and bounded discontinuous nonlinearities
• On recent developments in the theory of abstract differential equations with fractional derivatives
• Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument
• Approximation of solutions to a delay equation with a random forcing term and non local conditions
• Faedo-Galerkin approximate solutions for stochastic semilinear integrodifferential equations
• Existence of mild solutions for fractional neutral evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Approximations of solutions for a nonlinear differential equation with a deviating argument
• Second order impulsive retarded differential inclusions with nonlocal conditions
• Existence and approximation of solution to stochastic fractional integro-differential equation with impulsive effects
• On fractional resolvent operator functions
• Nonlinear abstract differential equations with deviated argument
• Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable
• Approximation of solutions to history-valued neutral functional differential equations
• Exact controllability of the suspension bridge model proposed by Lazer and McKenna
• APPROXIMATIONS OF SOLUTIONS TO SEMILINEAR INTEGRODIFFERENTIAL EQUATIONS
• Faedo‐galerkin approximations in equations of evolution
• Global convergence of Faedo-Galerkin approximations to nonlinear wave equations
• Approximation of wave equations with reproducing nonlinearities
• Approximation of solutions to evolution equations
• Approximate Controllability of Impulsive Fractional Integro-Differential Systems with Nonlocal Conditions in Hilbert Space
• Stochastic Equations in Infinite Dimensions
• Stochastic differential equations. An introduction with applications.

This page was built for publication: Approximation of solutions to fractional stochastic integro-differential equations of order α ∈ (1,2]