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Faedo–Galerkin method for impulsive second-order stochastic integro-differential systems

Author

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  • Kumar, Surendra
  • Sharma, Paras

Abstract

This paper studies impulsive second-order stochastic differential systems in a separable Hilbert space X. By using the projection operators, we restrict the given problem to a finite-dimensional subspace. The existence and convergence of estimated solutions for the considered problem are investigated via the theories of cosine family and fractional powers of a closed linear operator. We also examine the existence and convergence of the Faedo–Galerkin approximate solutions. At last, we are constructed some examples to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Kumar, Surendra & Sharma, Paras, 2022. "Faedo–Galerkin method for impulsive second-order stochastic integro-differential systems," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922001564
    DOI: 10.1016/j.chaos.2022.111946
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    References listed on IDEAS

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    1. Muslim, M., 2018. "Faedo–Galerkin approximation of second order nonlinear differential equation with deviated argument," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 315-324.
    2. D. Bahuguna & S. K. Srivastava, 1996. "Approximation of solutions to evolution integrodifferential equations," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-8, January.
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    Cited by:

    1. Kalimuthu, K. & Mohan, M. & Chokkalingam, R. & Nisar, Kottakkaran Sooppy, 2022. "Results on neutral differential equation of sobolev type with nonlocal conditions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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    1. Kalimuthu, K. & Mohan, M. & Chokkalingam, R. & Nisar, Kottakkaran Sooppy, 2022. "Results on neutral differential equation of sobolev type with nonlocal conditions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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