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Browsing by Author "Kumar, Dinesh"

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    Generalized fractional integrals of product of two H-functions and a general class of polynomials
    (Taylor & Francis Ltd, 2016) Baleanu, D.; Baleanu, Dumitru; Kumar, Dinesh; Purohit, S. 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.
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    On Transformation Involving Basic Analogue to the Aleph-Function of Two Variables
    (Mdpi, 2022) Kumar, Dinesh; Baleanu, Dumitru; Baleanu, Dumitru; Ayant, Frederic; Suedland, Norbert; 56389
    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.