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Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions

Author

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  • Jun Du
  • Wei Jiang
  • Denghao Pang
  • Azmat Ullah Khan Niazi

Abstract

The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the generalized M nch fixed point theorem, we derive some sufficient conditions to ensure the controllability for the nonlocal Hilfer fractional differential system. The results are new and generalize the existing results. Finally, we talk about an example to interpret the applications of our abstract results.

Suggested Citation

  • Jun Du & Wei Jiang & Denghao Pang & Azmat Ullah Khan Niazi, 2018. "Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions," Complexity, Hindawi, vol. 2018, pages 1-13, August.
    • Handle: RePEc:hin:complx:9472847
    DOI: 10.1155/2018/9472847
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    Cited by:

    1. Aimene, D. & Baleanu, D. & Seba, D., 2019. "Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 51-57.
    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).

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