A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION

Nidal Anakira; Zinouba Chebana; Taki Eddine Oussaeif; Iqbal M. Batiha; Adel Ouannas

doi:10.22771/nfaa.2022.27.03.14

A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION

Nidal Anakira
, Zinouba Chebana
, Taki Eddine Oussaeif
, Iqbal M. Batiha
, Adel Ouannas

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
University of Oum El Bouaghi

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

39 Scopus citations

Abstract

In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.

Original language	English
Pages (from-to)	679-689
Number of pages	11
Journal	Nonlinear Functional Analysis and Applications
Volume	27
Issue number	3
DOIs	https://doi.org/10.22771/nfaa.2022.27.03.14
State	Published - 2022

Keywords

Existence and uniqueness.
Fractional partial differential equation
Lax milligram theorem

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10.22771/nfaa.2022.27.03.14

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title = "A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION",

abstract = "In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.",

keywords = "Existence and uniqueness., Fractional partial differential equation, Lax milligram theorem",

author = "Nidal Anakira and Zinouba Chebana and Oussaeif, \{Taki Eddine\} and Batiha, \{Iqbal M.\} and Adel Ouannas",

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AU - Anakira, Nidal

AU - Chebana, Zinouba

AU - Oussaeif, Taki Eddine

AU - Batiha, Iqbal M.

AU - Ouannas, Adel

PY - 2022

Y1 - 2022

N2 - In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.

AB - In this paper, we establish sufficient conditions for the existence and uniqueness of solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.

KW - Existence and uniqueness.

KW - Fractional partial differential equation

KW - Lax milligram theorem

UR - https://www.scopus.com/pages/publications/85137294271

U2 - 10.22771/nfaa.2022.27.03.14

DO - 10.22771/nfaa.2022.27.03.14

M3 - Article

AN - SCOPUS:85137294271

SN - 1229-1595

VL - 27

SP - 679

EP - 689

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 3

ER -

A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION

Abstract

Keywords

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