Results 11 to 20 of about 125,128 (279)

Fractional-calculus diffusion equation [PDF]

Nonlinear Biomedical Physics, 2010
Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Ajlouni, Abdul-Wali M. S., Al-Rabai'ah, Hussam A.   +1 more
openaire   +2 more sources

Approximate Solution of Sub diffusion Bio heat Transfer Equation

مجلة بغداد للعلوم, 2023
In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative.
Jagdish Sonawane , Bahusaheb Sontakke, Kalyanrao Takale   +2 more
doaj   +1 more source

Method of approximations for the convection-dominated anomalous diffusion equation in a rectangular plate using high-resolution compact discretization

MethodsX, 2022
The present method describes the high-resolution compact discretization method for the numerical solution of the nonlinear fractal convection-diffusion model on a rectangular plate by employing the Hausdorff distance metric.
Navnit Jha, Shikha Verma
doaj   +1 more source

The invariant subspace method for solving nonlinear fractional partial differential equations with generalized fractional derivatives

Advances in Difference Equations, 2020
In this paper, we show that the invariant subspace method can be successfully utilized to get exact solutions for nonlinear fractional partial differential equations with generalized fractional derivatives. Using the invariant subspace method, some exact
Mohamed S. Abdel Latif, Abass H. Abdel Kader, Dumitru Baleanu   +2 more
doaj   +1 more source

Monotone iterative technique for time-space fractional diffusion equations involving delay

Nonlinear Analysis, 2021
This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of ...
Qiang Li, Guotao Wang, Mei Wei
doaj   +1 more source

Distinctive Shape Functions of Fractional Differential Quadrature for Solving Two-Dimensional Space Fractional Diffusion Problems

Fractal and Fractional, 2023
The aim of this study is to utilize a differential quadrature method with various kernels, such as Lagrange interpolation and discrete singular convolution, to tackle problems related to the Riesz fractional diffusion equation and the Riesz fractional ...
Abdelfattah Mustafa, Ola Ragb, Mohamed Salah, Reda S. Salama, Mokhtar Mohamed   +4 more
doaj   +1 more source

Fundamental solution of the model equation of anomalous diffusion of fractional order

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
Fundamental solution of the model equation of anomalous diffusion with Riemann-Liouville operator is constructed. Using the properties of the integral transformation with Wright function in kernel, we give estimates for the fundamental solution. When the
Fatima G Khushtova
doaj   +1 more source

Fractional Diffusion Equation under Singular and Non-Singular Kernel and Its Stability

Fractal and Fractional, 2023
The fractional reaction–diffusion equation has been used in many real-world applications in fields such as physics, biology, and chemistry. Motivated by the huge application of fractional reaction–diffusion, we propose a numerical scheme to solve the ...
Enrique C. Gabrick, Paulo R. Protachevicz, Ervin K. Lenzi, Elaheh Sayari, José Trobia, Marcelo K. Lenzi, Fernando S. Borges, Iberê L. Caldas, Antonio M. Batista   +8 more
doaj   +1 more source

Entropy Production Rate of a One-Dimensional Alpha-Fractional Diffusion Process

Axioms, 2016
In this paper, the one-dimensional α-fractional diffusion equation is revisited. This equation is a particular case of the time- and space-fractional diffusion equation with the quotient of the orders of the time- and space-fractional derivatives equal ...
Yuri Luchko
doaj   +1 more source

Additive Noise Effects on the Stabilization of Fractional-Space Diffusion Equation Solutions

Mathematics, 2022
This paper considers a class of stochastic fractional-space diffusion equations with polynomials. We establish a limiting equation that specifies the critical dynamics in a rigorous way.
Wael W. Mohammed, Naveed Iqbal, Thongchai Botmart   +2 more
doaj   +1 more source