Results 281 to 290 of about 2,690,910 (310)

On a final value problem for fractional reaction‐diffusion equation with Riemann‐Liouville fractional derivative

Mathematical Methods in the Applied Sciences, 2019
In this paper, we study a backward problem for a fractional diffusion equation with nonlinear source in a bounded domain. By applying the properties of Mittag‐Leffler functions and Banach fixed point theorem, we establish some results above the existence, uniqueness, and regularity of the mild solutions of the proposed problem in some suitable space ...
Ngoc Tran, Vo Van Au, Yong Zhou, Nguyen Huy Tuan   +3 more
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On a final value problem for the time-fractional diffusion equation with inhomogeneous source

Inverse Problems in Science and Engineering, 2016
In this paper, we consider an inverse problem for the time-fractional diffusion equation with inhomogeneous source to determine an initial data from the observation data provided at a later time. In general, this problem is ill-posed, therefore we construct a regularizing solution using the quasi-boundary value method.
Nguyen Huy Tuan, Le Dinh Long, Van Thinh Nguyen, Thanh Tran   +3 more
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Fourier regularization for a final value time-fractional diffusion problem

Applicable Analysis, 2014
The evolution process of fractional order describes some phenomenon of anomalous diffusion and transport dynamics in complex system. The equation containing time-fractional derivative provides a suitable mathematical model for describing such a process.
Ming Yang, Jijun Liu
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Solving a final value fractional diffusion problem by boundary condition regularization

Applied Numerical Mathematics, 2013
The evolution process of fractional order describes some phenomenon of anomalous diffusion and transport dynamics in complex system. The equation containing fractional derivatives provides a suitable mathematical model for describing such a process. The initial boundary value problem is hard to solve due to the nonlocal property of the fractional order
Ming Yang, Jijun Liu
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Erratum to "The Final Value Problem for Sobolev Equations"

Proceedings of the American Mathematical Society, 1977
J. Lagnese
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Numerical Method for Solving Discontinuous Initial/Final-Value Problems

Journal of Scientific Computing, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives

Applied Mathematics Letters, 2020
In this paper, we consider the terminal value problem for pseudo-parabolic equations with Riemann–Liouville fractional derivatives, from a given final value and we investigate the existence (and regularity) of mild solutions.
B. Tran, Yong Zhou, D. O’Regan, N. Tuan   +3 more
semanticscholar   +1 more source

The final value problem for anomalous diffusion equations involving weak-valued nonlinearities

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nguyen Thi Van Anh, Tran Dinh Ke, Do Lan
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The Accuracy of Approximate Solutions for a Boundary Value Inverse Problem with Final Overdetermination

2019
The paper aims to investigate the accuracy of the methods for approximate solving a boundary value inverse problem with final overdetermination for a parabolic equation. We use the technique of the continuation to the complex domain and the expansion of the unknown function into a Dirichlet series (exponential series) to formulate the inverse problem ...
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On a final value problem for a biparabolic equation with statistical discrete data

Applicable Analysis, 2021
Nguyen Huy Tuan, Tran Ngoc Thach, Nguyen Huu Can   +2 more
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