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Solutions to fractional neutral delay differential nonlocal systems

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  • Valliammal, N.
  • Ravichandran, C.
  • Nisar, Kottakkaran Sooppy

Abstract

The study of neutral fractional delay system governed by nonlocal conditions is presented and proved. With the aid of fractional theory, noncompact measure and Mönch’s technique, we established some sufficient conditions to confirm the existence of neutral delay differential system. An illustration of derived results is also offered.

Suggested Citation

  • Valliammal, N. & Ravichandran, C. & Nisar, Kottakkaran Sooppy, 2020. "Solutions to fractional neutral delay differential nonlocal systems," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s096007792030312x
    DOI: 10.1016/j.chaos.2020.109912
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    References listed on IDEAS

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    1. Danane, Jaouad & Allali, Karam & Hammouch, Zakia, 2020. "Mathematical analysis of a fractional differential model of HBV infection with antibody immune response," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    2. Fang Li & Gaston M. N'Guérékata, 2011. "An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-20, November.
    3. Veeresha, P. & Baskonus, Haci Mehmet & Prakasha, D.G. & Gao, Wei & Yel, Gulnur, 2020. "Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    4. 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.
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    2. Manjitha Mani Shalini & Nazek Alessa & Banupriya Kandasamy & Karuppusamy Loganathan & Maheswari Rangasamy, 2023. "On ν -Level Interval of Fuzzy Set for Fractional Order Neutral Impulsive Stochastic Differential System," Mathematics, MDPI, vol. 11(9), pages 1-18, April.
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    4. Dhayal, Rajesh & Malik, Muslim, 2021. "Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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