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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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Journal ArticleDOI
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

Journal ArticleDOI
17 Jan 2019-Chaos
TL;DR: The q-homotopy analysis transform method is applied to the mathematical model of the cancer chemotherapy effect in the sense of Caputo fractional to find some new approximate numerical results for different values of parameters of alpha.
Abstract: In this paper, we apply the q-homotopy analysis transform method to the mathematical model of the cancer chemotherapy effect in the sense of Caputo fractional. We find some new approximate numerical results for different values of parameters of alpha. Then, we present novel simulations for all cases of results conducted by considering the values of parameters of alpha in terms of two- and three-dimensional figures along with tables including critical numerical values.

142 citations

Journal ArticleDOI
21 May 2020-Biology
TL;DR: The infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense is investigated with the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition and natural transform methods.
Abstract: In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense. With the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition and natural transform methods, numerical results were obtained to better understand the dynamical structures of the physical behavior of 2019-nCoV. Such behaviors observe the general properties of the mathematical model of 2019-nCoV. This mathematical model is composed of data reported from the city of Wuhan, China.

134 citations

Journal ArticleDOI
TL;DR: In this article, the numerical solution of the mathematical model describing the deathly disease in pregnant women with fractional order is investigated with the help of q-homotopy analysis transform method (q-HATM).
Abstract: In this paper, numerical solution of the mathematical model describing the deathly disease in pregnant women with fractional order is investigated with the help of q-homotopy analysis transform method (q-HATM). This sophisticated and important model is consisted of a system of four equations, which illustrate a deathly disease spreading pregnant women called Lassa hemorrhagic fever disease. The fixed point theorem is considered so as to demonstrate the existence and uniqueness of the obtained numerical solution for the governing fractional model. The proposed method is also included the Laplace transform technique with q-homotopy analysis scheme, and fractional derivative defined with Atangana-Baleanu (AB) operator. In order to illustrate and validate the efficiency of the future technique, the projected model in the sense of fractional order is also considered. Moreover, the physical behaviors of the obtained numerical results are presented in terms of simulations for diverse fractional order.

107 citations


Cited by
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Book ChapterDOI
01 Jan 2015

3,828 citations

Journal ArticleDOI
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

Journal ArticleDOI
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

Book
01 Jan 1970

329 citations

Journal ArticleDOI
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