Existence of the mild solution for impulsive neutral stochastic fractional integro-differential inclusions with nonlocal conditions

DOI10.1007/S00009-015-0558-7zbMath1375.45008OpenAlexW2032300915MaRDI QIDQ327337

Alka Chadha, Dwijendra Narain Pandey

Publication date: 19 October 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-015-0558-7

zbMATH Keywords

Hilbert spacemild solutionresolvent operatorfractional calculusneutral equationmulti-valued operatorsnonlocal conditionsCaputo derivativeimpulsive stochastic fractional differential inclusion

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Fractional derivatives and integrals (26A33) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (10)

Approximate controllability of fractional nonlinear neutral stochastic differential inclusion with nonlocal conditions and infinite delay ⋮ Existence of a mild solution for a neutral stochastic fractional integro-differential inclusion with a nonlocal condition ⋮ Complete controllability of fractional impulsive multivalued stochastic partial integrodifferential equations with state-dependent delay ⋮ The existence and exponential behavior of solutions to time fractional stochastic delay evolution inclusions with nonlinear multiplicative noise and fractional noise ⋮ Controllability of systems with a general nonlocal condition ⋮ Optimal mild solutions for a class of nonlocal multi-valued stochastic delay differential equations ⋮ Approximate Controllability of Fractional Impulsive Partial Neutral Stochastic Differential Inclusions with State-Dependent Delay and Fractional Sectorial Operators ⋮ Approximate controllability of a multi-valued fractional impulsive stochastic partial integro-differential equation with infinite delay ⋮ Existence of optimal mild solutions for multi-valued impulsive stochastic partial functional integrodifferential equations ⋮ Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions

Cites Work

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• Some results on difference polynomials sharing values
• Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
• On the concept and existence of solution for impulsive fractional differential equations
• Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay
• Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay
• Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces
• Existence results of semilinear differential equations with nonlocal initial conditions in Banach spaces
• An existence result for neutral delay integrodifferential equations with fractional order and nonlocal conditions
• Existence results for impulsive neutral stochastic functional integro-differential inclusions with infinite delays
• Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations
• Existence of solutions of nonlinear stochastic integrodifferential inclusions in a Hilbert space
• Existence and regularity in the \(\alpha\)-norm for some neutral partial differential equations with nonlocal conditions
• Impulsive differential inclusions with fractional order
• Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions
• On neutral impulsive stochastic integro-differential equations with infinite delays via fractional operators
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Semigroups of linear operators and applications to partial differential equations
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• On the new concept of solutions and existence results for impulsive fractional evolution equations
• Analysis of Caputo impulsive fractional order differential equations with applications
• Approximate controllability of fractional neutral stochastic evolution equations with nonlocal conditions
• Fixed-point theorems for discontinuous multivalued operators on ordered spaces with applications
• Existence results for fractional semilinear differential inclusions in Banach spaces
• Existence and uniqueness of mild solutions to impulsive fractional differential equations
• Square-mean almost automorphic solutions for some stochastic differential equations
• A note on the neutral stochastic functional differential equation with infinite delay and Poisson jumps in an abstract space
• Existence of Solution of Nonlinear Neutral Stochastic Differential Inclusions with Infinite Delay
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Existence, uniqueness and stability results of impulsive stochastic semilinear neutral functional differential equations with infinite delays
• Existence of Solutions for Impulsive Neutral Integro-Differential Inclusions with Nonlocal Initial Conditions via Fractional Operators
• On fractional integro-differential inclusions with state-dependent delay in Banach spaces
• Radial wavelet and radon transform on the Heisenberg group
• Stochastic Equations in Infinite Dimensions

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