Browsing by Author "Srivastava, Hari M."

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Citation - WoS: 12
Citation - Scopus: 14
Efficacy of the Post-Exposure Prophylaxis and of the HIV Latent Reservoir in HIV Infection
(Mdpi, 2019) Pinto, Carla M. A.; Baleanu, Dumitru; Carvalho, Ana R. M.; Baleanu, Dumitru; Srivastava, Hari M.; 56389; Matematik
We propose a fractional order model to study the efficacy of the Post-Exposure Prophylaxis (PEP) in human immunodeficiency virus (HIV) within-host dynamics, in the presence of the HIV latent reservoir. Latent reservoirs harbor infected cells that contain a transcriptionally silent but reactivatable provirus. The latter constitutes a major difficulty to the eradication of HIV in infected patients. PEP is used as a way to prevent HIV infection after a recent possible exposure to HIV. It consists of the in-take of antiretroviral drugs for, usually, 28 days. In this study, we focus on the dosage and dosage intervals of antiretroviral therapy (ART) during PEP and in the role of the latent reservoir in HIV infected patients. We thus simulate the model for immunologically important parameters concerning the drugs and the fraction of latently infected cells. The results may add important information to clinical practice of HIV infected patients.
Citation - WoS: 41
Citation - Scopus: 48
Some New Fractional-Calculus Connections between Mittag-Leffler Functions
(Mdpi, 2019) Srivastava, Hari M.; Baleanu, Dumitru; Fernandez, Arran; Baleanu, Dumitru; 56389; Matematik
We consider the well-known Mittag-Leffler functions of one, two and three parameters, and establish some new connections between them using fractional calculus. In particular, we express the three-parameter Mittag-Leffler function as a fractional derivative of the two-parameter Mittag-Leffler function, which is in turn a fractional integral of the one-parameter Mittag-Leffler function. Hence, we derive an integral expression for the three-parameter one in terms of the one-parameter one. We discuss the importance and applications of all three Mittag-Leffler functions, with a view to potential applications of our results in making certain types of experimental data much easier to analyse.
Citation - WoS: 8
Citation - Scopus: 9
The marichev-saigo-maeda fractional-calculus operators involving the (P, q)-extended bessel and bessel-wright functions
(Mdpi, 2021) Srivastava, Hari M.; Jarad, Fahd; AbuJarad, Eman S. A.; Jarad, Fahd; Srivastava, Gautam; AbuJarad, Mohammed H. A.; 234808; Matematik
The goal of this article is to establish several new formulas and new results related to the Marichev-Saigo-Maeda fractional integral and fractional derivative operators which are applied on the (p,q)-extended Bessel function. The results are expressed as the Hadamard product of the (p,q)-extended Gauss hypergeometric function Fp,q and the Fox-Wright function r psi s(z). Some special cases of our main results are considered. Furthermore, the (p,q)-extended Bessel-Wright function is introduced. Finally, a variety of formulas for the Marichev-Saigo-Maeda fractional integral and derivative operators involving the (p,q)-extended Bessel-Wright function is established.