On the Composition Structures of Certain Fractional Integral Operators
On the Composition Structures of Certain Fractional Integral Operators
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DOI：
10.3390/sym14091845
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发表时间：
2022-09
期刊：
影响因子：
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通讯作者：
M. Luo;R. K. Raina
中科院分区：
文献类型：
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作者：
M. Luo;R. K. Raina
研究了一类分数阶积分算子的组成结构，这些算子的核是一类广义超几何函数。说明了这些算子的组成公式如何与各种erdsamlyi型超几何积分密切相关。我们还推导了分数阶积分算子的导数公式，并考虑了分数阶积分算子对某volterra型积分方程的一些应用，给出了对Khudozhnikov积分方程的两种推广（见下文）。讨论了一些具体的关系、实例和未来的研究问题。
This paper investigates the composition structures of certain fractional integral operators whose kernels are certain types of generalized hypergeometric functions. It is shown how composition formulas of these operators can be closely related to the various Erdélyi-type hypergeometric integrals. We also derive a derivative formula for the fractional integral operator and some applications of the operator are considered for a certain Volterra-type integral equation, which provide two generalizations to Khudozhnikov’s integral equation (see below). Some specific relationships, examples, and some future research problems are also discussed.