Research on Some Fractional Integrals Based on A New Multiplication of Fractional Analytic Functions

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we find the closed forms of two types of fractional integrals by using some methods. In addition, our results are generalizations of ordinary calculus results. Keywords: Jumarie type of R-L fractional calculus, new multiplication, fractional analytic functions, closed forms, fractional integrals. Title: Research on Some Fractional Integrals Based on A New Multiplication of Fractional Analytic Functions Author: Chii-Huei Yu International Journal of Civil and Structural Engineering Research ISSN 2348-7607 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 48-52 Research Publish Journals Website: www.researchpublish.com Published Date: 02-December-2024 DOI: https://doi.org/10.5281/zenodo.14258813 Paper Download Link (Source) https://www.researchpublish.com/papers/research-on-some-fractional-integrals-based-on-a-new-multiplication-of-fractional-analytic-functions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-02
DOI
https://doi.org/10.5281/zenodo.14258812
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

Research on Some Fractional Integrals Based on A New Multiplication of Fractional Analytic Functions

Zenodo (CERN European Organization for Nuclear Research)
Fractional Differential Equations Solutions
article

Research on Some Fractional Integrals Based on A New Multiplication of Fractional Analytic Functions

article en

Abstract

Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we find the closed forms of two types of fractional integrals by using some methods. In addition, our results are generalizations of ordinary calculus results. Keywords: Jumarie type of R-L fractional calculus, new multiplication, fractional analytic functions, closed forms, fractional integrals. Title: Research on Some Fractional Integrals Based on A New Multiplication of Fractional Analytic Functions Author: Chii-Huei Yu International Journal of Civil and Structural Engineering Research ISSN 2348-7607 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 48-52 Research Publish Journals Website: www.researchpublish.com Published Date: 02-December-2024 DOI: https://doi.org/10.5281/zenodo.14258813 Paper Download Link (Source) https://www.researchpublish.com/papers/research-on-some-fractional-integrals-based-on-a-new-multiplication-of-fractional-analytic-functions

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 65%
Fractional Differential Equations Solutions
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