ON THE INVERSE PROBLEMS FOR A FAMILY OF INTEGRO-DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

ON THE INVERSE PROBLEMS FOR A FAMILY OF INTEGRO-DIFFERENTIAL EQUATIONS

Published:2023-03-21 Issue:2 Volume:28 Page:255-270
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
Short-container-title:

Author:

Suhaib Kamran¹^ORCID,Ilyas Asim¹^ORCID,Malik Salman A.¹^ORCID

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad Islamabad, Pakistan

Abstract

An integro-differential equation involving arbitrary kernel in time variable with a family of non-local boundary condition has been considered. Two inverse source problems for integro-differential equations are formulated and the unique-existence results for the solution of inverse source problems are presented. Some particular examples in support of our analysis are discussed.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference29 articles.

1. Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation

2. Fractional diffusion in inhomogeneous media

3. Equipresence and constitutive equations for rigid heat conductors

4. The heat equation with generalized Wentzell boundary condition

5. Remarks on non controllability of the heat equation with memory

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Direct and some inverse problems for a generalized diffusion equation with variable coefficients;Computational and Applied Mathematics;2024-08-10

2. IDENTIFYING DIFFUSION CONCENTRATION AND SOURCE TERM FOR ANOMALOUS DIFFUSION EQUATION;Reports on Mathematical Physics;2024-04

3. On some direct and inverse problems for an integro-differential equation;Zeitschrift für angewandte Mathematik und Physik;2024-02-14

4. Identifying temperature distribution and source term for generalized diffusion equation with arbitrary memory kernel;Mathematical Methods in the Applied Sciences;2024-02

5. On the solvability of direct and inverse problems for a generalized diffusion equation;Physica Scripta;2023-11-09