On the Composition Structures of Certain Fractional Integral Operators
نویسندگان
چکیده
This paper investigates the composition structures of certain fractional integral operators whose kernels are types generalized hypergeometric functions. It is shown how formulas these can be closely related to various Erdélyi-type integrals. We also derive a derivative formula for operator and some applications considered Volterra-type equation, which provide two generalizations Khudozhnikov’s equation (see below). Some specific relationships, examples, future research problems discussed.
منابع مشابه
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and Dn denotes the derivative operator ∂/∂x1, . . . ,∂xn. The operators in (1.1) provide multidimensional generalizations to the well-known one-dimensional Riemann-Liouville andWeyl fractional integral operators defined in [5] (see also [1]). The paper [7] considers several formulas and interesting properties of (1.1). By invoking the Gauss hypergeometric function 2F1(α,β;γ;x), the following ge...
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ژورنال
عنوان ژورنال: Symmetry
سال: 2022
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym14091845