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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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Book ChapterDOI
20 Apr 2019
TL;DR: In this article, the authors proposed a homotopy analysis transform method (HATM) for the time-fractional coupled WBK equations describing the propagation of shallow water waves.
Abstract: In the present work, the approximated analytical solution for the time-fractional coupled Whitham-Broer-Kaup (WBK) equations describing the propagation of shallow water waves are obtained with the aid of an efficient computational technique called, \( q \)-Homotopy analysis transform method (briefly, \( q \)-HATM). To demonstrate the reliability and efficiency of the proposed technique, two examples are illustrated. The homotopy polynomials are hired in order to handle the nonlinear terms and the suggested algorithm provides the auxiliary parameters \( \hbar \) and \( \fancyscript{n} \), which help us to control and adjust the convergence region of the obtained series solution. Numerical simulation has been carried out in terms of absolute error. The obtained results revels that, the proposed algorithm is highly methodical and very efficient to solve coupled nonlinear differential system.

12 citations

Journal ArticleDOI
TL;DR: In this article, the q-homotopy analysis transform method (q-HATM) has been used for the study of fractional Emden-Fowler (FEF) equations.

11 citations

Journal ArticleDOI
TL;DR: In this article, a systematic study of Kenmotsu pseudo-metric manifolds is presented, and the Ricci solitons on these manifolds are considered, and necessary and sufficient conditions for them to have constant curvatures are provided.
Abstract: In this paper, a systematic study of Kenmotsu pseudo-metric manifolds are introduced. After studying the properties of this manifolds, we provide necessary and sufficient condition for Kenmotsu pseudo-metric manifold to have constant $\varphi$-sectional curvature, and prove the structure theorem for $\xi$-conformally flat and $\varphi$-conformally flat Kenmotsu pseudo-metric manifolds. Next, we consider Ricci solitons on this manifolds. In particular, we prove that an $\eta$-Einstein Kenmotsu pseudo-metric manifold of dimension higher than 3 admitting a Ricci soliton is Einstein, and a Kenmotsu pseudo-metric 3-manifold admitting a Ricci soliton is of constant curvature $-\varepsilon$.

10 citations

Journal ArticleDOI
TL;DR: In this paper, a graceful amalgamation of Laplace transform with q-homotopy analysis algorithm and Atangana-Baleanu (AB) operator is proposed to exemplify the behavior of the nonlinear model of arbitrary order differential equations.

9 citations

Journal ArticleDOI
TL;DR: In this article, the authors introduced the notion of extended generalized ϕ-recurrency to Sasakian manifolds and studied its various geometric properties with the existence by an interesting example.

8 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