An inverse source problem for pseudo-parabolic equation with Caputo derivative

DOI10.1007/S12190-021-01546-5zbMath1490.35542OpenAlexW3156831496MaRDI QIDQ2142487

Nguyen Huu Can, Nguyen Hoang Luc, Salih Tatar, Le Dinh Long, Dumitru Baleanu

Publication date: 27 May 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01546-5

zbMATH Keywords

ill-posed probleminverse source problemTikhonov regularization methodconvergence estimatesfractional pseudo-parabolic problem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (4)

Forward dynamics and memory effect in a fractional order chemostat minimal model with non-monotonic growth ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ Remarks on the initial and terminal value problem for time and space fractional diffusion equation ⋮ Regularization methods for identifying the initial value of time fractional pseudo-parabolic equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional calculus of variations in terms of a generalized fractional integral with applications to physics
• Blow-up phenomena for nonlinear pseudo-parabolic equations with gradient term
• Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
• Boundary value problems for a pseudoparabolic equation with the Caputo fractional derivative
• Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative
• On a non-local problem for a multi-term fractional diffusion-wave equation
• A new collection of real world applications of fractional calculus in science and engineering
• Inverse source problems for positive operators. I. Hypoelliptic diffusion and subdiffusion equations
• Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data
• Generalized mittag-leffler function and generalized fractional calculus operators
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Nonharmonic Analysis of Boundary Value Problems
• Nonharmonic Analysis of Boundary Value Problems Without WZ Condition
• On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator
• An introduction to the mathematical theory of inverse problems

This page was built for publication: An inverse source problem for pseudo-parabolic equation with Caputo derivative