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Fractional Integrals of Fractional Fourier Transform for Integrable Boehmians

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Abstract

With an abridged introductory note on the fractional Fourier transform, this paper attempts to study the same for integrable Boehmians with regard to fractional integrals. Some relevant properties are also established.

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Acknowledgement

This work is partially supported by the UGC, under the DSKPDF, Sanction No. F. 4-2/2006(BSR)/13-663/2012, to the first author (AS) and the DST-SERB, Sanction No. SR/S4/NS:683/13, sanctioned to the second author (PKB). Authors appreciate the critical reading and discussions those suggested by Dr. Deshna Loonker. Authors are thankful to the referee for valuable suggestions to improve the article.

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Authors and Affiliations

  1. DST-CIMS, Banaras Hindu University, Varanasi, Uttar Pradesh, India

    Abhishek Singh

  2. AIAS, Amity University, Noida, Uttar Pradesh, India

    Abhishek Singh

  3. Department of Mathematics, J.N. Vyas University, Jodhpur, India

    P. K. Banerji

Authors
  1. Abhishek Singh
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  2. P. K. Banerji
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Correspondence to Abhishek Singh.

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Singh, A., Banerji, P.K. Fractional Integrals of Fractional Fourier Transform for Integrable Boehmians. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 88, 49–53 (2018). https://doi.org/10.1007/s40010-016-0329-2

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  • DOI: https://doi.org/10.1007/s40010-016-0329-2

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