Browsing by Author "Kumar, Dinesh"

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Citation - WoS: 27
Citation - Scopus: 33
Generalized Fractional Integrals of Product of Two H-Functions and a General Class of Polynomials
(Taylor & Francis Ltd, 2016) Kumar, Dinesh; Purohit, S. D.; Baleanu, D.
The purpose of this paper is to compute two unified fractional integrals involving the product of two H-functions, a general class of polynomials and Appell function F-3. These integrals are further applied in proving two theorems on Saigo-Maeda fractional integral operators. Some consequent results and special cases are also pointed out in the concluding section.
Citation - WoS: 3
Citation - Scopus: 5
On Transformation Involving Basic Analogue To the Aleph-Function of Two Variables
(Mdpi, 2022) Baleanu, Dumitru; Ayant, Frederic; Suedland, Norbert; Kumar, Dinesh
In our work, we derived the fractional order q-integrals and q-derivatives concerning a basic analogue to the Aleph-function of two variables (AFTV). We discussed a related application and the q-extension of the corresponding Leibniz rule. Finally, we presented two corollaries concerning the basic analogue to the I-function of two variables and the basic analogue to the Aleph-function of one variable.