On fractional calculus of the bivariate Mittag-Leffler function

This article deals with a study of some fractional calculus properties of the bivari-ate Mittag-Leer functions including the fractional integrals and derivatives and the singular integral equation involving the bivariate Mittag-Leer functions in the kernel. Further, we introduce a fractional integral operator involving bivariate Mittag-Leer functions in the kernel. Also, we discuss the links of our ndings with known cases.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-02-04
DOI
https://doi.org/10.5269/bspm.63854
Citations
3
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
4.10
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article

On fractional calculus of the bivariate Mittag-Leffler function

Mohannad J. S. Shahwan, Maged G. Bin-Saad
3 citations
Boletim da Sociedade Paranaense de Matemática
Fractional Differential Equations Solutions
4.10
article

On fractional calculus of the bivariate Mittag-Leffler function

Mohannad J. S. Shahwan, Maged G. Bin-Saad
article en
3 citations

Abstract

This article deals with a study of some fractional calculus properties of the bivari-ate Mittag-Leer functions including the fractional integrals and derivatives and the singular integral equation involving the bivariate Mittag-Leer functions in the kernel. Further, we introduce a fractional integral operator involving bivariate Mittag-Leer functions in the kernel. Also, we discuss the links of our ndings with known cases.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
University of Bahrain (BH), University of Aden (YE), University College of Bahrain (BH)
Openalex Percentile: Top 8%
Fractional Differential Equations Solutions
4.10
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