关于V -函数的Marichev-Saigo-Maeda分数阶微积分算子

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-08-12 DOI:10.1155/2021/9961013

S. Chandak, Biniyam Shimelis, Nigussie Abeye, A. Padma

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引用次数: 0

摘要

本文建立了以V函数为核的分数阶微积分算子Marichev-Saigo-Maeda (MSM)的复合公式。此外，由于V函数的存在，通过定义参数的合适值，发现了与Mittag-Leffler函数、指数函数、Struve函数、Lommel函数、Bessel函数、Wright广义Bessel函数、广义超几何函数等特殊函数相关的各种已知结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the V -Function

In the present paper, we establish some composition formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with V -function as the kernel. In addition, on account of V -function, a variety of known results associated with special functions such as the Mittag-Leffler function, exponential function, Struve’s function, Lommel’s function, the Bessel function, Wright’s generalized Bessel function, and the generalized hypergeometric function have been discovered by defining suitable values for the parameters.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.