Author
Doddabhadrappla Gowda Prakasha
Other affiliations: Karnatak University
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.
Papers
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7 citations
21 Jan 2014
TL;DR: In this article, a generalized quasi-Einstein manifold satisfying certain conditions on conharmonic curvature tensor is considered and some geometric properties of its associated 1-forms are studied.
Abstract: This paper deals with generalized quasi-Einstein manifold satisfying certain conditions on conharmonic curvature tensor. Here we study some geometric properties of generalized quasi-Einstein manifold and obtain results which reveal the nature of its associated 1-forms.
7 citations
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TL;DR: In this paper, a special type of metric called *-Ricci soliton on a para-Sasakian manifold was studied, and it was shown that if the *-Sakian metric is a Ricci tensor on a manifold M, then M is either D-homothetic to an Einstein manifold, or the Ricci metric vanishes.
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 D-homothetic to an Einstein manifold, or the Ricci tensor of M with respect to the canonical paracontact connection vanishes.
7 citations
TL;DR: In this paper, a generalized Tanaka-Webster connection on a Kenmotsu manifold was studied and the conharmonic curvature tensor with respect to the connection was characterized.
Abstract: In this paper, we study a generalized Tanaka-Webster connection on a Kenmotsu manifold. We study the conharmonic curvature tensor with respect to the generalized Tanaka-Webster connection er and also characterize conharmonically flat and locally �-conharmonically symmetric Kenmotsu manifold with respect to the connectioner. Besides these we also classify Kenmotsu manifolds which satisfyeK �eR D 0 andeP �eK D 0, whereeK andeP are the conharmonic
curvature tensor, the projective curvature tensor and Riemannian curvature tensor, respectively with respect to the connection
6 citations
TL;DR: In this article, the E-Bochner curvature tensor on generalized Sasakian space forms is studied and the situations when it is symmetric, semisymmetric, recurrent, and pseudosymmetric are characterized.
6 citations
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01 Jan 2015
3,828 citations
TL;DR: In this paper, a new fractional model for human liver involving Caputo-Fabrizio derivative with the exponential kernel was proposed, and the existence of a unique solution was explored by using the Picard-Lindelof approach and the fixed-point theory.
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.
460 citations
TL;DR: In this paper , the authors analyzed the radiative flow of Maxwell nanoliquid on a stretching cylinder by considering magnetic effect, Stefan blowing and bioconvection effects, and found that the upshot change in thermal and mass relaxation times parameters declines the thermal and concentration pattern, respectively.
405 citations
TL;DR: The epidemic prophecy for the novel coronavirus (2019-nCOV) epidemic in Wuhan, China is studied by using q-homotopy analysis transform method (q-HATM) and the results show that the used scheme is highly emphatic and easy to implementation for the system of nonlinear equations.
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.
170 citations