Results 1 to 10 of about 18,143 (120)
Similarity Solutions to Nonlinear Diffusion/Harry Dym Fractional Equations
Advances in Mathematical Physics, 2021 By using scalar similarity transformation, nonlinear model of time-fractional diffusion/Harry Dym equation is transformed to corresponding ordinary fractional differential equations, from which a travelling-wave similarity solution of time-fractional ...
Chao Yue +3 more
doaj +1 more source
Supplement a high-dimensional time fractional diffusion equation
Alexandria Engineering Journal, 2023 In this article, we discussed a high-dimensional time fractional diffusion equation which is used to write many nonlinear phenomena in three dimensional space diffusion processes.
Jian-Gen Liu, Fa-Zhan Geng, Xin Li
doaj +1 more source
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 +2 more
doaj +1 more source
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 +2 more
doaj +1 more source
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
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
Fractional diffusion equation with new fractional operator
Alexandria Engineering Journal, 2020 A new fractional operator with Rabotnov fractional exponential kernel was recently introduced in the literature. In this paper, we consider the fractional diffusion equation in the context of this new fractional operator.
Ndolane Sene
doaj +1 more source
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 +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
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