An Inverse Source Problem for Anomalous Diffusion Equation with Generalized Fractional Derivative in Time

The inverse problem of recovering a source term along with diffusion concentration for a generalized diffusion equation has been considered. The so-called 2nd level fractional derivative in time of order between 0 and 1 is used by fixing the parameters involved in 2nd level fractional derivative som...

Full description

Saved in:
Bibliographic Details
Published in:Acta applicandae mathematicae 2022-10, Vol.181 (1), Article 15
Main Authors: Ilyas, Asim, Malik, Salman A.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Calculus of Variations and Optimal Control
Optimization
Computational Mathematics and Numerical Analysis
Diffusion
Inverse problems
Laplace transforms
Mathematics
Mathematics and Statistics
Partial Differential Equations
Probability Theory and Stochastic Processes
Spacetime
Viscoelasticity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The inverse problem of recovering a source term along with diffusion concentration for a generalized diffusion equation has been considered. The so-called 2nd level fractional derivative in time of order between 0 and 1 is used by fixing the parameters involved in 2nd level fractional derivative some well known fractional derivatives such as Riemann-Liouville, Caputo and Hilfer can be obtained. We investigated existence, uniqueness results and discussed some particular cases of the considered inverse problem.
ISSN:0167-8019
1572-9036
DOI:10.1007/s10440-022-00532-8