Работы, на которые ссылается эта работа

Работ: 22

Работа: Determination of the Order of Fractional Derivative for Subdiffusion Equations

Applications of Fractional Calculus in Physics
R. Hilfer
Книга2000Цитирований: 65
ABI
Mittag-Leffler Functions, Related Topics and Applications
Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi +1
Книга2014Цитирований: 53
ABI
THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
В. А. Ильин
Статья1960Цитирований: 36
ABI
The random walk's guide to anomalous diffusion: a fractional dynamics approach
Ralf Metzler, J. Klafter
Статья2000Цитирований: 35
ABI
Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations
Michael Ruzhansky, Niyaz Tokmagambetov, Berikbol T. Torebek
Статья2019Цитирований: 33
ABI
Operator Method for Construction of Solutions of Linear Fractional Differential Equations with Constant Coefficients
Ravshan Ashurov, Alberto Cabada, Batirkhan Turmetov
СтатьяFractional Differential Equations SolutionsFractional Calculus and Applied Analysis2016Цитирований: 22
ABI
Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
Sabir Umarov
Книга2015Цитирований: 21
ABI
Inverse source problem for a fractional diffusion equation
Ying Zhang, Xiang Xu
Статья2011Цитирований: 17
ABI
Initial-boundary value problems for multi-term time-fractional diffusion equations with positive constant coefficients
Zhiyuan Li, Yikan Liu, Masahiro Yamamoto
Статья2014Цитирований: 17
ABI
Fractional Derivatives for Physicists and Engineers
V. V. Uchaikin
Книга2013Цитирований: 16
ABI
Inverse problems of determining parameters of the fractional partial differential equations
Zhiyuan Li, Yikan Liu, Masahiro Yamamoto
Глава2019Цитирований: 13
ABI
Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
Zhiyuan Li, Masahiro Yamamoto
Статья2014Цитирований: 12
ABI
Regularized solution of an inverse source problem for a time fractional diffusion equation
Huy Tuan Nguyen, Le Dinh Long, Van Thinh Nguyen
Статья2016Цитирований: 11
ABI
Recovering the time-dependent potential function in a multi-term time-fractional diffusion equation
Liangliang Sun, Yun Zhang, Ting Wei
Статья2018Цитирований: 11
ABI
Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
Zhiyuan Li, Yuri Luchko, Masahiro Yamamoto
Статья2016Цитирований: 10
ABI
Recovering an unknown source in a fractional diffusion problem
William Rundell, Zhidong Zhang
Статья2018Цитирований: 9
ABI
Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain
Om P. Agrawal
Статья2002Цитирований: 8
ABI
Identifying an unknown time-dependent boundary source in time-fractional diffusion equation with a non-local boundary condition
Nazdar Abdollahi Asl, Davood Rostamy
Статья2019Цитирований: 7
ABI
Beyond The Triangle: Brownian Motion, Ito Calculus, And Fokker-planck Equation - Fractional Generalizations
Sabir Umarov, Marjorie G. Hahn, Marjorie G. Hahn +1
Книга2018Цитирований: 7
ABI
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
Nicole Heymans, Igor Podlubný
Статья2005Цитирований: 5
ABI
Random walk approximation of fractional-order multiscaling anomalous diffusion
Yong Zhang, David A. Benson, Mark M. Meerschaert +2
Статья2006Цитирований: 3
ABI
Variable Order Diﬀerential Equations with Piecewise Constant Order-Function and Diﬀusion with Changing Modes
Sabir Umarov, Stanly Steinberg
СтатьяFractional Differential Equations SolutionsZeitschrift für Analysis und ihre Anwendungen2009Цитирований: 1
ABI