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Two novel computational techniques for fractional Gardner and Cahn‐Hilliard equations
The numerical solutions for nonlinear fractional Gardner and Cahn‐Hilliard equations
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …
arising in fluids flow are obtained with the aid of two novel techniques, namely, fractional …
New numerical surfaces to the mathematical model of cancer chemotherapy effect in Caputo fractional derivatives
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 …
model of the cancer chemotherapy effect in the sense of Caputo fractional. We find some …
On the shock wave approximation to fractional generalized Burger–Fisher equations using the residual power series transform method
The time-fractional generalized Burger–Fisher equation (TF-GBFE) has various applications
across various scientific and engineering disciplines. It is used for investigating various …
across various scientific and engineering disciplines. It is used for investigating various …
[HTML][HTML] A new approach using integral transform to solve cancer models
The objective of this work is to investigate analytical solutions of some models of cancer
tumors using the Laplace residual power series method (LRPSM). The proposed method …
tumors using the Laplace residual power series method (LRPSM). The proposed method …
Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method
The pivotal aim of the present work is to obtain an approximated analytical solution for the
fractional smoking epidemic model with the aid of a novel technique called q-homotopy …
fractional smoking epidemic model with the aid of a novel technique called q-homotopy …
The epidemic COVID-19 model via Caputo–Fabrizio fractional operator
In this article, we analyze and identify the optimum values for a deeper sense of the
mathematical model of the COVID-19 epidemic from the reservoir to humans by using a …
mathematical model of the COVID-19 epidemic from the reservoir to humans by using a …
Novel simulations to the time-fractional Fisher's equation
In the present work, an efficient numerical technique, called q-homotopy analysis transform
method (briefly, q q-HATM), is applied to nonlinear Fisher's equation of fractional order. The …
method (briefly, q q-HATM), is applied to nonlinear Fisher's equation of fractional order. The …
Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential
In this paper, we present analytical-approximate solution to the time-fractional nonlinear
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …
coupled Jaulent–Miodek system of equations which comes with an energy-dependent …
[HTML][HTML] Significance of chemical reaction with activation energy for Riga wedge flow of tangent hyperbolic nanofluid in existence of heat source
This manuscript uncovers the heat and mass transfer of an unsteady tangent hyperbolic
nanofluid flow across an extensible Riga wedge under the effects of stagnation point, heat …
nanofluid flow across an extensible Riga wedge under the effects of stagnation point, heat …
[HTML][HTML] A powerful approach for fractional Drinfeld–Sokolov–Wilson equation with Mittag-Leffler law
The pivotal aim of the present work is to find the solution for fractional Drinfeld–Sokolov–
Wilson equation using q-homotopy analysis transform method (q-HATM). The proposed …
Wilson equation using q-homotopy analysis transform method (q-HATM). The proposed …