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Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions

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  • Hussain, Sadam
  • Sarwar, Muhammad
  • Abodayeh, Kamaleldin
  • Promsakon, Chanon
  • Sitthiwirattham, Thanin

Abstract

In this paper, the controllability for Hilfer fractional neutral stochastic differential equations with infinite delay and nonlocal conditions has been investigated. Using concepts from fractional calculus, semigroup of operators, fixed-point theory, measures of noncompactness, and stochastic theory the main controllability conclusion is attained. The applications of the key findings are finally illustrated with two examples.

Suggested Citation

  • Hussain, Sadam & Sarwar, Muhammad & Abodayeh, Kamaleldin & Promsakon, Chanon & Sitthiwirattham, Thanin, 2024. "Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004284
    DOI: 10.1016/j.chaos.2024.114876
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    References listed on IDEAS

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    1. JinRong Wang & Zhenbin Fan & Yong Zhou, 2012. "Nonlocal Controllability of Semilinear Dynamic Systems with Fractional Derivative in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 292-302, July.
    2. Nisar, Kottakkaran Sooppy & Jothimani, K. & Kaliraj, K. & Ravichandran, C., 2021. "An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Thitiporn Linitda & Kulandhaivel Karthikeyan & Palanisamy Raja Sekar & Thanin Sitthiwirattham, 2023. "Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions," Mathematics, MDPI, vol. 11(5), pages 1-16, February.
    4. B. Radhakrishnan & T. Sathya, 2022. "Controllability of Hilfer Fractional Langevin Dynamical System with Impulse in an Abstract Weighted Space," Journal of Optimization Theory and Applications, Springer, vol. 195(1), pages 265-281, October.
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