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Solution of chemical reaction model using Haar wavelet method with Caputo derivative
Throughout this research paper, we represent a highly effective Haar wavelet technique to determine the solution of the complex nonlinear dynamical...
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Mathematical analysis of a within-host dengue virus dynamics model with adaptive immunity using Caputo fractional-order derivatives
Dengue fever poses a significant global health threat, with over 50 million annual infections spanning more than 100 countries. Given the absence of...
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A robust scheme for Caputo variable-order time-fractional diffusion-type equations
The focus of this work is to construct a pseudo-operational Jacobi collocation scheme for numerically solving the Caputo variable-order...
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Influence of slip over an exponentially moving vertical plate with Caputo-time fractional derivative
In this article, the impact of a MHD is analyzed on a VF accompanying double convection, because of the transfer inducted by temperature and...
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Analytical approach of Hilfer fractional order differential equations using iterative Laplace transform method
This paper discusses the analytical solution of fractional differential equations involving the Hilfer fractional derivative. The procedure adopted...
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Multi-generalized slip and ramped wall temperature effect on MHD Casson fluid: second law analysis
This paper concentrated on the multiple generalized report of entropy generation of MHD Casson fluid via Caputo–Fabrizio (CF), Caputo (C), and...
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A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation
This article aims at develo** a computational scheme for solving the time fractional reaction-subdiffusion (TFRSD) equation in two space...
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Collocation-based numerical simulation of fractional order Allen–Cahn equation
This article looks for a reliable numerical technique to solve the Allen–Cahn equation using the Caputo time-fractional derivative. The fractional...
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Numerical approximation of the typhoid disease model via Genocchi wavelet collocation method
In this paper, we have considered the fractional typhoid disease model and obtained the numerical approximation of the model via the innovative...
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Numerical investigation of two fractional operators for time fractional delay differential equation
This article compared two high-order numerical schemes for convection-diffusion delay differential equation via two fractional operators with...
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New solutions of generalized MHD viscous fluid flow with thermal memory and bioconvection
In this paper, the fractional model of the bioconvection flow of a MHD viscous fluid for vertical surface has been investigated. Introducing...
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An implicit scheme for time-fractional coupled generalized Burgers’ equation
This article presents an efficient implicit spline-based numerical technique to solve the time-fractional generalized coupled Burgers’ equation. The...
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A numerical study on the nonlinear fractional Klein–Gordon equation
This article helps to develop a numerical approach based on Fibonacci wavelets for solving fractional Klein-Gordan equations (FKGEs). The FKGEs are...
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Thermal analysis of mineral oil-based hybrid nanofluid subject to time-dependent energy and flow conditions and multishaped nanoparticles
In contemporary times, there has been a significant focus among researchers on hybrid nanofluids derived from oils, owing to their remarkable and...
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A new graph theoretic analytical method for nonlinear distributed order fractional ordinary differential equations by clique polynomial of cocktail party graph
In this paper, we presented a new analytical method for one of the rapidly emerging branches of fractional calculus, the distributed order fractional...
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Investigation of MHD fractionalized viscous fluid and thermal memory with slip and Newtonian heating effect: a fractional model based on Mittag-Leffler kernel
This paper introduces an innovative approach for modelling unsteady incompressible natural convection flow over an inclined oscillating plate with an...
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Thermoelastic Waves Propagation through Semiconductor Nanostructure by a Ramp Heat Source
In this article, elastic waves propagating through a semi-conducting nanostructure solid are investigated. A mathematical model representing the...
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Ferromagnetic Chaos in thermal convection of fluid through fractal–fractional differentiations
Thermal convection suppresses the thermal stability and instability during the interaction between the magnetic fields because thermal convection is...
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An innovative Vieta–Fibonacci wavelet collocation method for the numerical solution of three-component Brusselator reaction diffusion system of fractional order
The research article presents a novel approach for the numerical solution of three-component time fractional order Brusselator reaction-diffusion...