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Construction controllability for conformable fractional stochastic evolution system with noninstantaneous impulse and nonlocal condition

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  • Ahmed, Hamdy M.

Abstract

Conformable fractional stochastic differential equation with noninstantaneous impulse and Poisson jump via nonlocal condition is studied. Controllability for the considered problem is constructed. The required results are established based on fractional calculus, stochastic analysis, and Sadovskii’s fixed point theorem. Moreover, an example is provided to illustrate the applicability of the results.

Suggested Citation

  • Ahmed, Hamdy M., 2022. "Construction controllability for conformable fractional stochastic evolution system with noninstantaneous impulse and nonlocal condition," Statistics & Probability Letters, Elsevier, vol. 190(C).
    • Handle: RePEc:eee:stapro:v:190:y:2022:i:c:s0167715222001523
    DOI: 10.1016/j.spl.2022.109618
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    References listed on IDEAS

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    1. Ahmed, Hamdy M. & El-Borai, Mahmoud M., 2018. "Hilfer fractional stochastic integro-differential equations," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 182-189.
    2. Balasubramaniam, P., 2021. "Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Kim, Hyunsoo & Sakthivel, Rathinasamy & Debbouche, Amar & Torres, Delfim F.M., 2020. "Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    4. Afreen, A. & Raheem, A. & Khatoon, A., 2022. "Controllability of a second-order non-autonomous stochastic semilinear system with several delays in control," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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