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A Collection of Hilfer Fractional Opial Inequalities

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Advances in Mathematical Modelling, Applied Analysis and Computation

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 415))

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Abstract

Here we present a detailed collection of the Hilfer fractional left and right side Opial-type inequalities. These cover forward, reverse, and extreme cases and involve one, two, and several functions of various non-integer orders at various powers. Our estimates are very general covering many different settings.

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Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Memphis, Memphis, 38152, U.S.A.

    George A. Anastassiou

Authors
  1. George A. Anastassiou
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Corresponding author

Correspondence to George A. Anastassiou .

Editor information

Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, India

    Jagdev Singh

  2. Department of Mathematics, University of Memphis, Tennessee, TN, USA

    George A. Anastassiou

  3. Department of Mathematics, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  4. Engineering School, DEIM, University of Tuscia, Viterbo, Italy

    Carlo Cattani

  5. Department of Mathematics, University of Rajasthan, Jaipur, India

    Devendra Kumar

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Anastassiou, G.A. (2023). A Collection of Hilfer Fractional Opial Inequalities. In: Singh, J., Anastassiou, G.A., Baleanu, D., Cattani, C., Kumar, D. (eds) Advances in Mathematical Modelling, Applied Analysis and Computation. Lecture Notes in Networks and Systems, vol 415. Springer, Singapore. https://doi.org/10.1007/978-981-19-0179-9_1

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