Browsing Matematik Bölümü by Author "Kumam, Poom"

Now showing items 1-20 of 26

A Caputo-Fabrizio Fractional-Order Cholera Model And İts Sensitivity Analysis

Ahmed, Idris; Akgül, Ali; Jarad, Fahd; Kumam, Poom; Nonlaopon, Kamsing (2023-06-30)

In recent years, the availability of advanced computational techniques has led to a growing emphasis on fractional-order derivatives. This development has enabled researchers to explore the intricate dynamics of various ...
A New Analytical Technique to Solve System of Fractional-Order Partial Differential Equations

Shah, Rasool; Khan, Hassan; Farooq, Umar; Baleanu, Dumitru; Kumam, Poom (IEEE-INST Electrical Electronics Engineers INC, 2019)

In this research article, a new analytical technique is implemented to solve system of fractional-order partial differential equations. The fractional derivatives are carried out with the help of Caputo fractional derivative ...
A Novel Method for the Analytical Solution of Fractional Zakharov–Kuznetsov Equations

Shah, Rasool; Khan, Hassan; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad (Springer, 2019-12)

In this article, an efficient analytical technique, called Laplace–Adomian decomposition method, is used to obtain the solution of fractional Zakharov– Kuznetsov equations. The fractional derivatives are described in terms ...
A semi-analytical method to solve family of Kuramoto-Sivashinsky equations

Shah, Rasool; Khan, Hassan; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad (2020-01-01)

In this article, a semi-analytical technique is implemented to solve Kuramoto-Sivashinsky equations. The present method is the combination of two well-known methods namely Laplace transform method and variational iteration ...
An approximate analytical solution of the Navier–Stokes equations within Caputo operator and Elzaki transform decomposition method

Hajira; Khan, Hassan; Khan, Adnan; Kumam, Poom; Baleanu, Dumitru; Arif, Muhammad (2020-12-01)

In this article, a hybrid technique of Elzaki transformation and decomposition method is used to solve the Navier–Stokes equations with a Caputo fractional derivative. The numerical simulations and examples are presented ...
An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations

Khan, Hassan; Shah, Rasool; Kumam, Poom; Arif, Muhammad; Baleanu, Dumitru (MDPI, 2019-05)

In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative. Series form solutions are obtained ...
An exploration of heat and mass transfer for MHD flow of Brinkman type dusty fluid between fluctuating parallel vertical plates with arbitrary wall shear stress

khan, Dolat; Ali, Gohar; Kumam, Poom; Jarad, Fahd (2024-02)

An equitably complex phenomenon, the Brinkman-type dusty fluid and wall shear stress effect, is utilized in various engineering and product-making fields. For instance, dusty fluids are employed in nuclear-powered reactors ...
Analytical Solution of Fractional-Order Hyperbolic Telegraph Equation, Using Natural Transform Decomposition Method

Khan, Hassan; Shah, Rasool; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad (MDPI, 2019-09)

In the current paper, fractional-order hyperbolic telegraph equations are considered for analytical solutions, using the decomposition method based on natural transformation. The fractional derivative is defined by the ...
Analytical Solutions of (2+Time Fractional Order) Dimensional Physical Models, Using Modified Decomposition Method

Khan, Hassan; Farooq, Umar; Shah, Rasool; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad (MDPI AG, 2020-01-01)

In this article, a new analytical technique based on an innovative transformation is used to solve (2+time fractional-order) dimensional physical models. The proposed method is the hybrid methodology of Shehu transformation ...
Approximate analytical fractional view of convection-diffusion equations

Khan, Hassan; Mustafa, Saima; Ali, Izaz; Kumam, Poom; Baleanu, Dumitru; Arif, Muhammad (2020-01)

In this article, a modified variational iteration method along with Laplace transformation is used for obtaining the solution of fractional-order nonlinear convection-diffusion equations (CDEs). The proposed technique is ...
Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition

Ahmed, Idris; Kumam, Poom; Abdeljawad, Thabet; Jarad, Fahd; Borisut, Piyachat; Demba, Musa Ahmed; Kumam, Wiyada (2020-12-01)

The present paper describes the implicit fractional pantograph differential equation in the context of generalized fractional derivative and anti-periodic conditions. We formulated the Green’s function of the proposed ...
Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition

Ahmed, Idris; Kumam, Poom; Abdeljawad, Thabet; Jarad, Fahd; Borisut, Piyachat; Demba, Musa Ahmed; Kumam, Wiyada (2020-12-01)

The present paper describes the implicit fractional pantograph differential equation in the context of generalized fractional derivative and anti-periodic conditions. We formulated the Green’s function of the proposed ...
Exploring the potential of heat transfer and entropy generation of generalized dusty tetra hybrid nanofluid in a microchannel

Khan, Dolat; Kumam, Poom; Watthayu, Wiboonsak; Jarad, Fahd (2024-06)

Caputo–Fabrizio time-fractional derivatives are the subject of this paper. This article generalizes the concept of dusty Tetra hybrid nanofluid moving freely via convection between infinite vertical parallel static plates. ...
Families of Travelling Waves Solutions for Fractional-Order Extended Shallow Water Wave Equations, Using an Innovative Analytical Method

Baleanu, DumitruKhan, Hassan; Shoaib; Baleanu, Dumitru; Kumam, Poom; Al-Zaidy, Jameel F. (IEEE-INST Electrical Electronics Engineers INC, 2019)

In the present research article, an efficient analytical technique is applied for travelling waves solutions of fractional partial differential equations. The investigated problems are reduced to ordinary differential ...
Fractional View Analysis of Acoustic Wave Equations, Using Fractional-Order Differential Equations

Ali, Izaz; Khan, Hassan; Shah, Rasool; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad (2020-01)

In the present research work, a newly developed technique which is known as variational homotopy perturbation transform method is implemented to solve fractional-order acoustic wave equations. The basic idea behind the ...
Fractional View Analysis of Third Order Kortewege-De Vries Equations, Using a New Analytical Technique

Shah, Rasool; Farooq, Umar; Khan, Hassan; Baleanu, Dumitru; Kumam, Poom; Arif, Muhammad (2020-01-17)

In the present article, fractional view of third order Kortewege-De Vries equations is presented by a sophisticated analytical technique called Mohand decomposition method. The Caputo fractional derivative operator is used ...
Heat transfer analysis of unsteady MHD slip flow of ternary hybrid Casson fluid through nonlinear stretching disk embedded in a porous medium

Khan, Dolat; Ali, Gohar; Kumam, Poom; Sitthithakerngkiet, Kanokwan; Jarad, Fahd (2024-02)

The original article's purpose is to assess transfer of heat exploration for unsteady magneto hydrodynamic slip flow of ternary hybrid Casson fluid via a nonlinear flexible disk placed within a perforated medium of a ...
Laplace decomposition for solving nonlinear system of fractional order partial differential equations

Khan, Hassan; Shah, Rasool; Kumam, Poom; Baleanu, Dumitru; Arif, Muhammad (2020-07-22)

In the present article a modified decomposition method is implemented to solve systems of partial differential equations of fractional-order derivatives. The derivatives of fractional-order are expressed in terms of Caputo ...
Laplace decomposition for solving nonlinear system of fractional order partial differential equations

Khan, Hassan; Shah, Rasool; Kumam, Poom; Baleanu, Dumitru; Arif, Muhammad (2020-12-01)

In the present article a modified decomposition method is implemented to solve systems of partial differential equations of fractional-order derivatives. The derivatives of fractional-order are expressed in terms of Caputo ...
Natural Transform Decomposition Method for Solving Fractional-Order Partial Differential Equations with Proportional Delay

Shah, Rasool; Khan, Hassan; Kumam, Poom; Arif, Muhammad; Baleanu, Dumitru (MDPI, 2019-06)

In the present article, fractional-order partial differential equations with proportional delay, including generalized Burger equations with proportional delay are solved by using Natural transform decomposition method. ...

Now showing items 1-20 of 26

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Browsing Matematik Bölümü by Author "Kumam, Poom"

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