Closed Forms of Two Types of Fractional Integrals

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. Moreover, our results are generalizations of classical calculus results. Keywords: Jumarie type of R-L fractional calculus, new multiplication, fractional analytic functions, closed forms, fractional integrals. Title: Closed Forms of Two Types of Fractional Integrals Author: Chii-Huei Yu International Journal of Mechanical and Industrial Technology ISSN 2348-7593 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 14-18 Research Publish Journals Website: www.researchpublish.com Published Date: 29-November-2024 DOI: https://doi.org/10.5281/zenodo.14243360 Paper Download Link (Source) https://www.researchpublish.com/papers/closed-forms-of-two-types-of-fractional-integrals

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-11-29
DOI
https://doi.org/10.5281/zenodo.14243360
Primary Topic
Fractional Differential Equations Solutions
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article
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Closed Forms of Two Types of Fractional Integrals

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

Closed Forms of Two Types of Fractional Integrals

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. Moreover, our results are generalizations of classical calculus results. Keywords: Jumarie type of R-L fractional calculus, new multiplication, fractional analytic functions, closed forms, fractional integrals. Title: Closed Forms of Two Types of Fractional Integrals Author: Chii-Huei Yu International Journal of Mechanical and Industrial Technology ISSN 2348-7593 (Online) Vol. 12, Issue 2, October 2024 - March 2025 Page No: 14-18 Research Publish Journals Website: www.researchpublish.com Published Date: 29-November-2024 DOI: https://doi.org/10.5281/zenodo.14243360 Paper Download Link (Source) https://www.researchpublish.com/papers/closed-forms-of-two-types-of-fractional-integrals

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