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Fixed points of mixed monotone operators for existence and uniqueness of nonlinear fractional differential equations

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Abstract

In this paper we study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary value problems by using new fixed point results of mixed monotone operators on cones.

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Author information

Authors and Affiliations

  1. University of Tabriz, Tabriz, Iran

    H. R. Marasi

  2. University of Bonab, Bonab, Iran

    H. R. Marasi

  3. Bonab University, Bonab, Iran

    H. Afshari & M. Daneshbastam

  4. Shanxi University, Taiyuan, Shanxi, China

    C. B. Zhai

Authors
  1. H. R. Marasi
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  2. H. Afshari
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  3. M. Daneshbastam
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  4. C. B. Zhai
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Corresponding author

Correspondence to H. R. Marasi.

Additional information

Original Russian Text © H. R. Marasi, H. Afshari, M. Daneshbastam, C. B. Zhai, 2017, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2017, No. 1, pp. 78-84.

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Marasi, H.R., Afshari, H., Daneshbastam, M. et al. Fixed points of mixed monotone operators for existence and uniqueness of nonlinear fractional differential equations. J. Contemp. Mathemat. Anal. 52, 8–13 (2017). https://doi.org/10.3103/S1068362317010022

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  • DOI: https://doi.org/10.3103/S1068362317010022

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