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

Taki Eddine Oussaeif; Benaoua Antara; Adel Ouannas; Iqbal M. Batiha; Khaled M. Saad; Hadi Jahanshahi; Awad M. Aljuaid; Ayman A. Aly

doi:10.1155/2022/7667370

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

Taki Eddine Oussaeif
, Benaoua Antara
, Adel Ouannas
, Iqbal M. Batiha
, Khaled M. Saad
, Hadi Jahanshahi
, Awad M. Aljuaid
, Ayman A. Aly

Nonlinear Dynamic Research Centre (NDRC)

University of Oum El Bouaghi
Irbid National University
Taiz University
University of Manitoba
Taif University

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

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.

Original language	English
Article number	7667370
Journal	Journal of Function Spaces
Volume	2022
DOIs	https://doi.org/10.1155/2022/7667370
State	Published - 2022

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10.1155/2022/7667370

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

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.",

author = "Oussaeif, \{Taki Eddine\} and Benaoua Antara and Adel Ouannas and Batiha, \{Iqbal M.\} and Saad, \{Khaled M.\} and Hadi Jahanshahi and Aljuaid, \{Awad M.\} and Aly, \{Ayman A.\}",

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year = "2022",

doi = "10.1155/2022/7667370",

language = "English",

volume = "2022",

journal = "Journal of Function Spaces",

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T1 - Existence and Uniqueness of the Solution for an Inverse Problem of a Fractional Diffusion Equation with Integral Condition

AU - Oussaeif, Taki Eddine

AU - Antara, Benaoua

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

AU - Saad, Khaled M.

AU - Jahanshahi, Hadi

AU - Aljuaid, Awad M.

AU - Aly, Ayman A.

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85128599995

U2 - 10.1155/2022/7667370

DO - 10.1155/2022/7667370

M3 - Article

AN - SCOPUS:85128599995

SN - 2314-8896

VL - 2022

JO - Journal of Function Spaces

JF - Journal of Function Spaces

M1 - 7667370

ER -

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

Abstract

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