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RETRACTED ARTICLE: The Existence of Solution for k-Dimensional System of Langevin Hadamard-Type Fractional Differential Inclusions with 2k Different Fractional Orders

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This article was retracted on 05 November 2021

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Abstract

In this paper, we investigate the existence of solution for k-dimensional system of Langevin Hadamard-type fractional differential inclusions with 2k different fractional orders. Our investigate relies on fixed point theorems and covers the cases when the right-hand side of the inclusion is sum of two multifunctions. Also, we provide an example to illustrate our main results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, 6517838695, Iran

    Mohammad Esmael Samei & Ghorban Khalilzadeh Ranjbar

  2. Department of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, Iran

    Vahid Hedayati

  3. Department of Mathematics, Shahid Mehrab Madani Educational Institution, Hamedan, Iran

    Vahid Hedayati

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  1. Mohammad Esmael Samei
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  2. Vahid Hedayati
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  3. Ghorban Khalilzadeh Ranjbar
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Correspondence to Mohammad Esmael Samei.

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Samei, M.E., Hedayati, V. & Khalilzadeh Ranjbar, G. RETRACTED ARTICLE: The Existence of Solution for k-Dimensional System of Langevin Hadamard-Type Fractional Differential Inclusions with 2k Different Fractional Orders. Mediterr. J. Math. 17, 37 (2020). https://doi.org/10.1007/s00009-019-1471-2

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  • DOI: https://doi.org/10.1007/s00009-019-1471-2

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