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Pathway Fractional Integral Operator Associated with 3m-Parametric Mittag-Leffler Functions

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Abstract

In this paper, we present composition of the pathway fractional integral \(P_{0^{+} }^{(\eta ,\alpha )}\) with the 3m-parametric type Mittag-Leffler function \(E^{(\gamma _{i}),m}_{(\alpha _i), (\beta _i)}(z)\) and discusses some of it’s particular cases in application point of view.

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Acknowledgements

This work has done during the visit of second author at Universiti Putra Malaysia. Thus the second and third authors are very greateful to University Putra Malaysia for the partial support under the reserach Grant having No. UPM-IPS 9543000.

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Authors and Affiliations

  1. Department of Mathematics, Poornima College of Engineering, Jaipur, 302029, India

    Shilpi Jain

  2. Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India

    Praveen Agarwal

  3. Department of Mathematics, University Putra Malaysia, 43400 UPM, Serdang, Selangor, Malaysia

    Adem Kilicman

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  1. Shilpi Jain
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  2. Praveen Agarwal
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  3. Adem Kilicman
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Correspondence to Adem Kilicman.

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All authors contributed equally to the manuscript and approved the final manuscript.

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Jain, S., Agarwal, P. & Kilicman, A. Pathway Fractional Integral Operator Associated with 3m-Parametric Mittag-Leffler Functions. Int. J. Appl. Comput. Math 4, 115 (2018). https://doi.org/10.1007/s40819-018-0549-z

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  • DOI: https://doi.org/10.1007/s40819-018-0549-z

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