Results 11 to 20 of about 17,486 (265)
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
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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
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REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION [PDF]
Fractals, 2002 The fractional diffusion equation is derived from the master equation of continuous time random walks (CTRWs) via a straightforward application of the Gnedenko-Kolmogorov limit theorem. The Cauchy problem for the fractional diffusion equation is solved in various important and general cases.
E. Scalas +3 more
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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
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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
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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
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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
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Unified Fractional Kinetic Equation and a Fractional Diffusion Equation [PDF]
Astrophysics and Space Science, 2004 In earlier papers Saxena et al. (2002, 2003) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the work of Haubold and Mathai (2000). The object of the present paper is to investigate the solution of a unified form of fractional kinetic equation in which the free term ...
Saxena, R. K. +2 more
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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
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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 +8 more
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