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On a Generalized Difference Sequence and Its Applications

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Abstract

In this paper, we study the convergence of fractional difference sequences based on generalized difference operators of Baliarsingh. We establish some relations among the proposed difference operators and apply them to study the geometry of fractional derivatives of certain functions.

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Authors and Affiliations

  1. Gangadhar Meher University, Sambalpur, Odisha, 768004, India

    Pinakadhar Baliarsingh

  2. Kalinga Institute of Industrial Technology, Deemed to be University, Bhubaneswar, 751024, India

    Prasanta Beuria, Pinakadhar Baliarsingh & Laxmiprya Nayak

Authors
  1. Prasanta Beuria
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  2. Pinakadhar Baliarsingh
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  3. Laxmiprya Nayak
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Correspondence to Pinakadhar Baliarsingh.

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Beuria, P., Baliarsingh, P. & Nayak, L. On a Generalized Difference Sequence and Its Applications. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 39–46 (2022). https://doi.org/10.1007/s40010-020-00689-7

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  • DOI: https://doi.org/10.1007/s40010-020-00689-7

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