典型文献
Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions
文献摘要：
This paper is devoted to identifying an unknown source for a time-fractional diff usion equa-tion in a general bounded domain. First, we prove the problem is non-well posed and the stability of the source function. Second, by using the Modified Fractional Landweber method, we present regulariza-tion solutions and show the convergence rate between regularization solutions and sought solution are given under a priori and a posteriori choice rules of the regularization parameter, respectively. Finally, we present an illustrative numerical example to test the results of our theory.
文献关键词：
中图分类号：
作者姓名：
Nguyen Duc PHUONG;Le Dinh LONG;Anh Tuan NGUYEN;Dumitru BALEANU
作者机构：
Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Vietnam;Division of Applied Mathematics, Science and Technology Advanced Institute,Van Lang University, Ho Chi Minh City, Vietnam Faculty of Technology, Van Lang University, Ho Chi Minh City, Vietnam;Department of Mathematics, Cankaya University, Ankara, TurkeyLebanese American University, Beirut, Lebanon Institute of Space Sciences, Magurele–Bucharest, Romania
文献出处：
引用格式：
[1]Nguyen Duc PHUONG;Le Dinh LONG;Anh Tuan NGUYEN;Dumitru BALEANU-.Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions)[J].数学学报（英文版）,2022(12):2199-2219
A类：
usion,regulariza
B类：
Regularization,Inverse,Problem,Time,Fractional,Pseudo,parabolic,Equation,Non,local,Conditions,This,paper,devoted,identifying,unknown,source,fractional,diff,equa,general,bounded,domain,First,prove,problem,well,posed,stability,function,Second,by,using,Modified,Landweber,method,present,solutions,show,convergence,rate,between,regularization,sought,are,given,under,priori,posteriori,choice,rules,parameter,respectively,Finally,illustrative,numerical,example,test,results,theory
AB值：
0.674737
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