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Findings of Fractional Iterative Differential Equations Involving First Order Derivative

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Abstract

In this paper, we deal with the existence outcomes for a fractional iterative differential equation involving first order derivative in a Banach space. The appliance utilized in this study, is the non-expansive operator method and BGK (Browder–Ghode–Kirk) fixed point theorem. The fractional differential operator is taken in the sense of Riemann–Liouville.

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Acknowledgments

The authors would like to thank the referees for giving useful suggestions that improved the present work.

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Authors and Affiliations

  1. Department of Mathematics, University Putra Malaysia (UPM), 43400, Serdang, Selangor, Malaysia

    Faten H. Damag & Adem Kılıçman

  2. Institute of Mathematical Sciences, University Malaya, 50603, Kuala Lumpur, Malaysia

    Rabha W. Ibrahim

Authors
  1. Faten H. Damag
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  2. Adem Kılıçman
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  3. Rabha W. Ibrahim
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Correspondence to Adem Kılıçman.

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The authors declare that there is no conflict of interests regarding the publication of this article.

Authors’ contributions

All the authors jointly worked on deriving the results and approved the final manuscript.

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Damag, F.H., Kılıçman, A. & Ibrahim, R.W. Findings of Fractional Iterative Differential Equations Involving First Order Derivative. Int. J. Appl. Comput. Math 3, 1739–1748 (2017). https://doi.org/10.1007/s40819-016-0221-4

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