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Bicomplex Mittag-Leffler Function and Applications in Integral Transform and Fractional Calculus

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Mathematical and Computational Intelligence to Socio-scientific Analytics and Applications

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 518))

Abstract

Motivated by the importance of the applications of the Mittag-Leffler functions in many areas of engineering and applied science, efforts have been done to develop the applications of the bicomplex Mittag-Leffler function in the area of fractional calculus. The purpose of this paper is to evaluate the bicomplex integral transforms of the bicomplex one parameter Mittag-Leffler function. Application of bicomplex Laplace transform has been demonstrated in obtaining the solution of the kinetic equation involving fractional derivatives of the bicomplex-valued functions.

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Authors and Affiliations

  1. Department of Mathematics, Malaviya National Institute of Technology, Jaipur, 302017, India

    Ritu Agarwal

  2. Department of Science and Humanities, Kalaniketan Polytechnic College, Jabalpur, 482001, India

    Urvashi Purohit Sharma

Authors
  1. Ritu Agarwal
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  2. Urvashi Purohit Sharma
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Corresponding author

Correspondence to Ritu Agarwal .

Editor information

Editors and Affiliations

  1. Department of Mathematics, MNNIT Allahabad, FATER Academy of India, Prayagraj, India

    Pankaj Srivastava

  2. School of Mathematics, Madurai Kamaraj University, Madurai, India

    M. Lellis Thivagar

  3. Department of Mathematics and Computer Science, University of Oradea, Oradea, Romania

    Georgia Irina Oros

  4. Rattanakosin International College of Creative Entrepreneurship, Rajamangala University of Technology, Nakhon Pathom, Thailand

    Chai Ching Tan

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Agarwal, R., Sharma, U.P. (2022). Bicomplex Mittag-Leffler Function and Applications in Integral Transform and Fractional Calculus. In: Srivastava, P., Thivagar, M.L., Oros, G.I., Tan, C.C. (eds) Mathematical and Computational Intelligence to Socio-scientific Analytics and Applications. Lecture Notes in Networks and Systems, vol 518. Springer, Singapore. https://doi.org/10.1007/978-981-19-5181-7_12

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