Doddabhadrappla Gowda Prakasha

Bio: Doddabhadrappla Gowda Prakasha is an academic researcher from Davangere University. The author has contributed to research in topics: Laplace transform & Fractional calculus. The author has an hindex of 27, co-authored 88 publications receiving 1905 citations. Previous affiliations of Doddabhadrappla Gowda Prakasha include Karnatak University.

On generalized Sasakian-space-forms with Weyl-conformal curvature tensor

Abstract: The object of the this paper is to study Weyl-pseudosymmetric generalized Sasakianspace-forms and such space-forms satisfying the conditions C(ξ,X)R = 0 and C(ξ,X)S = 0, where C is the Weyl-conformal curvature tensor, R and S are the Riemannian curvature tensor and the Ricci tensor of the space-form respectively.

Para-Sasakian manifolds and $$*$$ ∗ -Ricci solitons

Abstract: In this paper we study a special type of metric called $$*$$ -Ricci soliton on para-Sasakian manifold. We prove that if the para-Sasakian metric is a $$*$$ -Ricci soliton on a manifold M, then M is either $$\mathcal {D}$$ -homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes.

On the C-Bochner Curvature Tensor of Generalized Sasakian-Space-Forms

Abstract: In this paper we study C-Bochner pseudosymmetric generalized Sasakian-space-forms and such space-forms with C-Bochner curvature tensor \(B\) satisfying the conditions \(B(\xi , X)\cdot S=0\), \(B(\xi , X)\cdot R=0\) and \(B(\xi , X)\cdot B = 0\), where \(R\) and \(S\) denotes the Riemann curvature tensor and Ricci tensor of the space-form, respectively.

Evaluation of heat and mass transfer in ferromagnetic fluid flow over a stretching sheet with combined effects of thermophoretic particle deposition and magnetic dipole

Abstract: The features of ferromagnetic fluids make it supportive for an extensive range of usages in directing magnetic drugs and magnetic hyperthermia. Owing to all such potential applications, the current...

A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

Abstract: In this research, we aim to propose a new fractional model for human liver involving Caputo–Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using the Picard–Lindelof approach and the fixed-point theory. In addition, the mathematical model is implemented by the homotopy analysis transform method whose convergence is also investigated. Eventually, numerical experiments are carried out to better illustrate the results. Comparative results with the real clinical data indicate the superiority of the new fractional model over the pre-existent integer-order model with ordinary time-derivatives.

A new study of unreported cases of 2019-nCOV epidemic outbreaks

Abstract: 2019-nCOV epidemic is one of the greatest threat that the mortality faced since the World War-2 and most decisive global health calamity of the century. In this manuscript, we study the epidemic prophecy for the novel coronavirus (2019-nCOV) epidemic in Wuhan, China by using q-homotopy analysis transform method (q-HATM). We considered the reported case data to parameterise the model and to identify the number of unreported cases. A new analysis with the proposed epidemic 2019-nCOV model for unreported cases is effectuated. For the considered system exemplifying the model of coronavirus, the series solution is established within the frame of the Caputo derivative. The developed results are explained using figures which show the behaviour of the projected model. The results show that the used scheme is highly emphatic and easy to implementation for the system of nonlinear equations. Further, the present study can confirm the applicability and effect of fractional operators to real-world problems.