New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

Gao, Wei; Veeresha, P.; Prakasha, D. G.; Baskonus, Hacı Mehmet; Yel, Gülnur

doi:10.1016/j.chaos.2020.109696

Cited by 112 publications

(56 citation statements)

References 48 publications

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“…The considered algorithm is blended of q ‐HAM with Laplace transform. Due to efficiency and applicability of this method, recently many researchers investigated more interesting models, for instance Lakes pollution model [85], model exemplifying ion acoustic plasma waves [83], fractional order system describing Schistosomiasis disease [51], model describing the deathly disease in pregnant women [38] and many others. From these studies we can see that, this scheme is more reliable and highly methodical while analyzing real world problems.…”

Section: Basic Procedures Of Q‐homotopy Analysis Transform Methodsmentioning

confidence: 99%

“…Particularly, with the revolution in computer technology and symbolic programming, many new algorithms are proposed by many mathematicians, engineers and physicists. With the help of these techniques, many researchers analyze various classes of nonlinear systems and present some simulating results [12–56]. For instance, authors in [34, 35] studied logistic models within the frame of FC and illustrated some interesting consequences.…”

Section: Introductionmentioning

confidence: 99%

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New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

Gao

Veeresha

Prakasha

et al. 2020

Numerical Methods Partial

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The pivotal aim of the present work is to find the numerical solution for fractional Benney-Lin equation by using two efficient methods, called q-homotopy analysis transform method and fractional natural decomposition method. The considered equation exemplifies the long waves on the liquid films. Projected methods are distinct with solution procedure and they are modified with different transform algorithms. To illustrate the reliability and applicability of the considered solution procedures we consider eight special cases with different initial conditions. The fractional operator is considered in Caputo sense. The achieved results are drowned through two and three-dimensional plots for different Brownian motions and classical order. The numerical simulations are presented to ensure the efficiency of considered techniques. The behavior of the obtained results for distinct fractional order is captured in the present framework. The outcomes of the present investigation show that, the considered schemes are efficient and powerful to solve nonlinear differential equations arise in science and technology.

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Section: Basic Procedures Of Q‐homotopy Analysis Transform Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

Gao

Veeresha

Prakasha

et al. 2020

Numerical Methods Partial

Self Cite

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“…The obtained results show the effectiveness of the theoretical method considering the governing system and also present much light on the dynamic behavior of the Bats-Hosts-Reservoir-People transmission network coronavirus model. In this regards, more recently, some experts have investigated some important nonlinear models arising in real-world problems [10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system

2020

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According to the report presented by the World Health Organization, a new member of viruses, namely, coronavirus, shortly 2019-nCoV, which arised in Wuhan, China, on January 7, 2020, has been introduced to the literature. The main aim of this paper is investigating and finding the optimal values for better understanding the mathematical model of the transfer of 2019-nCoV from the reservoir to people. This model, named Bats-Hosts-Reservoir-People coronavirus (BHRPC) model, is based on bats as essential animal beings. By using a powerful numerical method we obtain simulations of its spreading under suitably chosen parameters. Whereas the obtained results show the effectiveness of the theoretical method considered for the governing system, the results also present much light on the dynamic behavior of the Bats-Hosts-Reservoir-People transmission network coronavirus model.

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“…Most recently, numerous scientists provided new definitions of fractional order derivatives and integrals that opened a new era in the history of fractional derivatives, such as the Atangana–Baleanu fractional integral [ 1 ], the Caputo fractional derivative [ 2 ] and the Caputo–Fabrizio fractional derivative [ 3 ]. There is a series of new lines of research that is devoted to fractional calculus and its applications in many disciplines, such as physics, engineering and modeling [ 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ].…”

Section: Introductionmentioning

confidence: 99%

An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations

Mohammad

Trounev

Cattani

2020

Entropy

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This paper is devoted to shedding some light on the advantages of using tight frame systems for solving some types of fractional Volterra integral equations (FVIEs) involved by the Caputo fractional order derivative. A tight frame or simply framelet, is a generalization of an orthonormal basis. A lot of applications are modeled by non-negative functions; taking this into account in this paper, we consider framelet systems generated using some refinable non-negative functions, namely, B-splines. The FVIEs we considered were reduced to a set of linear system of equations and were solved numerically based on a collocation discretization technique. We present many important examples of FVIEs for which accurate and efficient numerical solutions have been accomplished and the numerical results converge very rapidly to the exact ones.

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New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

Cited by 112 publications

References 48 publications

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques

New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-nCoV system

An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations

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