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Regularization of a terminal value problem for time fractional diffusion equation

Mathematical Methods in the Applied Sciences, 2020
In this article, we study an inverse problem with inhomogeneous source to determine an initial data from the time fractional diffusion equation. In general, this problem is ill‐posed in the sense of Hadamard, so the quasi‐boundary value method is proposed to solve the problem.
Nguyen Anh Triet   +4 more
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TERMINAL VALUE PROBLEM FOR STOCHASTIC FRACTIONAL EQUATION WITHIN AN OPERATOR WITH EXPONENTIAL KERNEL

Fractals, 2023
In this paper, we investigate a terminal value problem for stochastic fractional diffusion equations with Caputo–Fabrizio derivative. The stochastic noise we consider here is the white noise taken value in the Hilbert space [Formula: see text]. The main contribution is to investigate the well-posedness and ill-posedness of such problem in two distinct ...
Phuong, Nguyen Duc   +3 more
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Spectral collocation method for nonlinear Riemann–Liouville fractional terminal value problems

Journal of Computational and Applied Mathematics, 2021
The author considers the terminal value problem of the Riemann-Liouville fractional equation and its solution by the spectral collocation method. He converts the problem into the corresponding nonlinear Volterra-Fredholm integral equation. Then, the Gauss quadrature formula is applied for discretizations.
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On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives

Applied Mathematics Letters, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bao Ngoc Tran   +3 more
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Existence and uniqueness of solutions of a terminal value problem for fractional-order differential equations.

2021
Summary: In this work we study the existence and uniqueness of solutions of a terminal value problem for fractional-order differential equations. We also give some examples illustrating the application of our results.
Derhab, Mohammed, Imakhlaf, Mohand Said
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Terminal core values associated with adolescent problem behaviors.

Adolescence, 1999
This study investigated the relationship of terminal core values to delinquency, substance use, and sexual behavior in a sample of 544 high school students. Students were classified according to their dominant value, and comparisons were made in regard to thirty-one indicators of delinquency, substance use, and sexual activity.
B G, Goff, H W, Goddard
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On Methods of Terminal Control with Boundary-Value Problems: Lagrange Approach

2016
A dynamic model of terminal control with boundary value problems in the form of convex programming is considered. The solutions to these finite-dimensional problems define implicitly initial and terminal conditions at the ends of time interval at which the controlled dynamics develops.
Anatoly Antipin, Elena Khoroshilova
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Minimizing a sensitivity function as boundary-value problem in terminal control

2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017
A problem of terminal control with linear dynamics on a finite time interval is considered. The right-hand end of trajectory is defined implicitly as a solution of boundary-value problem. The problem is reduced to finding a saddle point of the Lagrange function, and linear dynamics is regarded as an equality-type constraint.
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Terminal value problems in Banach spaces for functional differential equations

2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
RAGNI, Marcello, RUBBIONI, Paola
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