Existence and Uniqueness of the Solution for an Inverse Problem of a Fractional Diffusion Equation with Integral Condition-Reference-Cited by-同舟云学术

Existence and Uniqueness of the Solution for an Inverse Problem of a Fractional Diffusion Equation with Integral Condition

Published:2022-04-06 Issue: Volume:2022 Page:1-9
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Oussaeif Taki-Eddine¹^ORCID,Antara Benaoua¹,Ouannas Adel¹^ORCID,Batiha Iqbal M.²³^ORCID,Saad Khaled M.⁴^ORCID,Jahanshahi Hadi⁵^ORCID,Aljuaid Awad M.⁶^ORCID,Aly Ayman A.⁷^ORCID

Affiliation:

1. Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

2. Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan

3. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE

4. Department of Mathematics, Faculty of Applied Science, Taiz University, Taiz, Yemen

5. Department of Mechanical Engineering, University of Manitoba, Winnipeg, R3T 5V6, Canada

6. Department of Industrial Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

7. Department of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099Taif 21944, Saudi Arabia

Abstract

The solvability of the fractional partial differential equation with integral overdetermination condition for an inverse problem is investigated in this paper. We analyze the direct problem solution by using the “energy inequality” method. Using the fixed point technique, the existence and uniqueness of the solution of the inverse problem on the data are established.

Funder

Taif University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/7667370.pdf

Reference30 articles.

1. Inverse problem of a hyperbolic equation with an integral overdetermination condition;T.-E. Oussaeif;Electronic Journal of Differential Equations,2016

2. Determination of a control parameter in a parabolic partial differential equation

Cited by 17 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. A STUDY OF A SUPERLINEAR PARABOLIC DIRICHLET PROBLEM WITH UNKNOWN COEFFICIENT;INT J INNOV COMPUT I;2024

2. On Finite-Time Blow-Up Problem for Nonlinear Fractional Reaction Diffusion Equation: Analytical Results and Numerical Simulations;Fractal and Fractional;2023-07-30

3. Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces;Contemporary Mathematics;2023-05-08

4. On a Multistable Type of Free Boundary Problem with a Flux at the Boundary;Advances in Mathematical Physics;2023-04-12

5. Solvability of Nonlinear Wave Equation with Nonlinear Integral Neumann Conditions;International Journal of Analysis and Applications;2023-04-10