Identifying temperature distribution and source term for generalized diffusion equation with arbitrary memory kernel

Cites Work

Pattern formation of the attraction-repulsion Keller-Segel system
General fractional calculus, evolution equations, and renewal processes
Tempered stable laws as random walk limits
Optimization of the boundary control by a displacement or by an elastic force on one end of a string under a model nonlocal boundary condition
On a family of initial-boundary value problems for the heat equation
Boundedness, blowup and critical mass phenomenon in competing chemotaxis
Nonlocal and multiple-point boundary value problem for fractional differential equations
An operational method for solving fractional differential equations with the Caputo derivatives
Characterizing time dependent anomalous diffusion process: a survey on fractional derivative and nonlinear models
From continuous time random walks to the generalized diffusion equation
Beyond monofractional kinetics
Inverse problems for diffusion equation with fractional Dzherbashian-Nersesian operator
An inverse source problem for anomalous diffusion equation with generalized fractional derivative in time
Existence and uniqueness results for a multi-parameters nonlocal diffusion equation
Inverse problem for a multi-term fractional differential equation
Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation
A coupled method for inverse source problem of spatial fractional anomalous diffusion equations
Results on Nonlocal Boundary Value Problems
SIMULTANEOUS DETERMINATION OF A SOURCE TERM AND DIFFUSION CONCENTRATION FOR A MULTI-TERM SPACE-TIME FRACTIONAL DIFFUSION EQUATION
Augmented Tikhonov regularization
An inverse problem for a family of time fractional diffusion equations
Inverse problem for a space‐time fractional diffusion equation: Application of fractional Sturm‐Liouville operator
Regularization Methods for Ill-Posed Problems
INVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATION
Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation
An inverse problem for finding the lowest term of a heat equation with Wentzell–Neumann boundary condition
Generalized diffusion-wave equation with memory kernel
Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
Mittag-Leffler Functions, Related Topics and Applications
Fractional diffusion in inhomogeneous media
Inverse problems for a multi-term time fractional evolution equation with an involution
Recovering source term and temperature distribution for nonlocal heat equation
ON THE INVERSE PROBLEMS FOR A FAMILY OF INTEGRO-DIFFERENTIAL EQUATIONS
Inverse coefficient problem for a fractional wave equation with time-nonlocal and integral overdetermination conditions