Browsing by Author "Purohit, Sunil Dutt"
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Chebyshev type inequality containing a fractional integral operator with a multi-index Mittag-Leffler function as a kernel
Jangid, Kamlesh; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy; Araci, Serkan (De Gruyter Open Ltd, 1 February)In this paper, we derive certain Chebyshev type integral inequalities connected with a fractional integral operator in terms of the generalized Mittag-Leffler multi-index function as a kernel. Our key findings are general ... -
Generating functions involving the incomplete H-functions
Jangid, Kamlesh; Purohit, Sunil Dutt; Nisar, Kottakkaran Sooppy; Aracı, Serkan (De Gruyter Open Ltd, 2021)In this article, for the incomplete H-functions, we obtain a set of new generating functions. The bilateral along with linear generating relations are derived for the incomplete H-functions. Many of the generating functions ... -
q-LAPLACE TRANSFORM FOR PRODUCT OF GENERAL CLASS OF q-POLYNOMIALS AND q-ANALOGUE OF I-FUNCTION
Vyas, Vijay Kumar; Al-Jarrah, Ali A.; Purohit, Sunil Dutt; Araci, Serkan; Nisar, Kottakkaran Sooppy (UNIV PRISHTINES, 2020)In this paper, the basic analogue of the Laplace transforms involving the product of a general class of q-polynomials along with q-analogue of Fox's H-function and q-analogue of I-function is evaluated. Limiting cases of ... -
Solution of Fractional Kinetic Equations Associated with the p,q -Mathieu-Type Series
Suthar, D. L.; Purohit, Sunil Dutt; Araci, Serkan (Hindawi Limited, 2020)In this paper, our aim is to finding the solutions of the fractional kinetic equation related with the p,q-Mathieu-type series through the procedure of Sumudu and Laplace transforms. The outcomes of fractional kinetic ...