Certain parameterized inequalities arising from fractional integral operators with exponential kernels
نویسندگان
چکیده
We utilize the definition of a fractional integral operators, which was presented by Ahmad et al., to investigate general fractional-type identity with parameter. establish certain parameterized inequalities based on this identity, and provide two examples illustrate obtained results. Also, these results derived in paper are applied estimations q-digamma function, divergence measures cumulative distribution respectively.
منابع مشابه
On weighted inequalities for certain fractional integral operators
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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*Correspondence: [email protected] Department of Mathematics and Physical Sciences, Prince Sultan University, P.O. Box 66833, Riyadh, 11586, Saudi Arabia Abstract In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension is given to both left and right fractional derivatives and integrals. ...
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ژورنال
عنوان ژورنال: Filomat
سال: 2021
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2105707y