Team 1
Mathematical Analysis and Applications

Redouane Boudjemaa
MCA
Mathematics Univ Blida 1

Mohamed Bendraouche
CC
Mathematics Univ Blida 1

Habbani Sadek
Assistant Master
Mathematics Univ Blida 1

Mesbahi Lazhar
CC
Mathematics Univ Blida 1
Team Title | Mathematical Analysis and Applications | |||||||||||
Possible acronym: | WADA | |||||||||||
Home page Team | ||||||||||||
Physical location: | Block 13 | |||||||||||
Team Leader Name | Benbachir Maamar | Rank: Professor | ||||||||||
Number of posts (Google Scholar) |
27 | |||||||||||
Number of quotes Google Scholar) |
120 | |||||||||||
H-index (Google Scholar) |
6 | |||||||||||
Google Account Schto smell | https://scholar.google.com/citations?user=gJCgvY4AAAAJ | |||||||||||
Complete list of team members by rank starting with the highest rank |
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Last name First Name |
Attachment structure |
Se xed |
Date of Birth |
Last Diploma |
Grade |
Specialty |
Google Account Schto smell |
Number Of Publications |
Number Of Quotes (Google Scholar) |
H-index (Google Scholar) |
||
Benbachir Maamar |
Univ. Blida1 |
M |
26/10/1967 |
Ph.D |
Prof. |
Analysis |
32 |
117 |
6 |
|||
Rouaki Mohamed | Univ. Blida 1 | M | 21/04/1965 | Doctorate | MCA | Analysis | ||||||
Chaouchi Belkacem |
Univ. K. Miliana |
M |
20/02/1976 |
Doctorate |
MCB |
Analysis |
8 |
14 |
2 |
|||
Chouikrat Abdelkader |
Univ. Blida 1 |
M |
02/06/1965 |
Master |
MAA |
Analysis |
02 |
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Benaissa Lakhdar |
University of Algiers1 |
M |
25/04/1975 |
Master |
MAA |
Analysis |
https://scholar.google.fr/citat ions?user=2YMbrAcAAAA J&hl=fr&oi=ao |
4 |
4 |
1 |
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NB: Applicant members must not, under any circumstances, belong to an already approved laboratory.
Description of the objectives, missions and activities of the team (It must necessarily fit with the themes of the laboratory) |
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Overall goals (Describe in about ten lines the objective of the research carried out by the team)
From equations resulting from mechanics and physics, in general partial differential equations of the elliptical or parabolic type, we set ourselves the goal of developing and implementing a qualitative and quantitative study for this type of problem. . The study of these problems uses several tools of functional analysis. The abstract point of view adopted is essentially based on operator theory. Tools used include fractional calculus, singular perturbation methods, functional interpolation theory, and semigroups of linear operators. As a second phase, we focus on the numerical approach. The implication of numerical methods such as finite differences, finite elements, finite volume, will aim to validate the theoretical results obtained previously.
Equations with derivatives of fractional order generalize equations with derivatives of integer order. The fractional approach appears today as a promising way to better describe real phenomena from finance, solid-state physics, signal processing, quantum mechanics, porous media and many other fields. The development of fractional analysis itself represents a growing branch of mathematics. In this work, we propose to study some problems with boundary conditions and derivatives of fractional order. The aim is to provide sufficient conditions guaranteeing the existence of solutions and positive solutions and uniqueness of solutions. Our main tool will be the different techniques provided by the |
fixed point theory. |
Scientific Foundations (Define the major work themes that the team proposes)
Study of certain partial differential equations in non-regular domains. Study of the non-linear problems ODE and PDE by the method of the topological degree of Leray-Schauder. Studies of certain fractional differential equations by fixed point techniques. Studies of the stability of differential equations with integer and fractional derivatives. |
Keywords: Non-linear ODE and PDE, Leray-Schauder Topological degree, mathematical modelling, mechanics of continuums, operational calculus of Dunford, the theory of semigroups of linear operators, numerical approximations, domains with cusps, polygonal domains, fractional derivative, derivative of Riemann-Liouville, derivative of Caputo, derivative of Marchaud, derivative of Grünwald-Letnikov, Green's fractional function, fixed point, existence of solution, positive solution. |