Browsing by Author "Jain, Shilpi"

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Citation Count: Jain, Shilpi...et al. (2019). "Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications", Mathematics, Vol. 7, No. 2.
Certain Hermite-Hadamard Inequalities for Logarithmically Convex Functions with Applications
(MDPI, 2019) Jain, Shilpi; Mehrez, Khaled; Baleanu, Dumitru; Agarwal, Ravi P.; 56389
In this paper, we discuss various estimates to the right-hand (resp. left-hand) side of the Hermite-Hadamard inequality for functions whose absolute values of the second (resp. first) derivatives to positive real powers are log-convex. As an application, we derive certain inequalities involving the q-digamma and q-polygamma functions, respectively. As a consequence, new inequalities for the q-analogue of the harmonic numbers in terms of the q-polygamma functions are derived. Moreover, several inequalities for special means are also considered.
Citation Count: Agarwal, P...et al. (2018). On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function, Advances in Difference Equations.
On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function
(Springer Open, 2018) Agarwal, Ravi P.; Chand, M.; Baleanu, Dumitru; O'Regan, Donal; Jain, Shilpi; 56389
The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function E-k,zeta,eta(gamma,rho)(center dot). The solutions of fractional kinetic equations are discussed in terms of the Mittag-Leffler function. Further, numerical values of the results and their graphical interpretation is interpreted to study the behavior of these solutions. The results established here are quite general in nature and capable of yielding both known and new results.