International Online Seminar on Mathematics and Its Applications
Saturday, 23 May 2026 -
00:00
Monday, 18 May 2026
Tuesday, 19 May 2026
Wednesday, 20 May 2026
Thursday, 21 May 2026
Friday, 22 May 2026
Saturday, 23 May 2026
17:55
Chair
-
RACHID BAHLOUL
(
Bahloul Rachid
)
Chair
RACHID BAHLOUL
(
Bahloul Rachid
)
17:55 - 18:00
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
18:00
Coupled Nonlocal Boundary Value Problems for Fractional Integro-Differential Langevin System via Variable Coefficient
-
Karim Guida
(
Abdelmalek Essaadi university Tangier morocco
)
Lahcen Ibnelazyz
(
Abdelmalek Essaadi university Tangier morocco
)
Kamal Ait Touchent
(
Abdelmalek Essaadi university Tanger morocco
)
Coupled Nonlocal Boundary Value Problems for Fractional Integro-Differential Langevin System via Variable Coefficient
Karim Guida
(
Abdelmalek Essaadi university Tangier morocco
)
Lahcen Ibnelazyz
(
Abdelmalek Essaadi university Tangier morocco
)
Kamal Ait Touchent
(
Abdelmalek Essaadi university Tanger morocco
)
18:00 - 18:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this paper, we aim to study a new coupled system of nonlinear fractional integro-differential Langevin equations with coupled multipoint boundary conditions. The existence and uniqueness of solutions are investigated by using Banach’s and Krasnoselskii’s fixed-point theorems. The Ulam–Hyers stability of the mentioned equation is provided by applying the classical technique of functional analysis. Two examples are presented to verify our analysis.
Generalization of derivations on lattices
-
Faiza Shujat
(
Taibah University, Madinah, Saudi Arabia
)
Generalization of derivations on lattices
Faiza Shujat
(
Taibah University, Madinah, Saudi Arabia
)
18:00 - 18:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
Over the course of its development, the theory of binary operations has become a foundational component of algebraic structures, providing a rigorous framework for the formulation and analysis of abstract algebraic structures and playing a central role in lattice theory and its numerous applications, where many fundamental notions and properties, including the very definition of a lattice, can be characterized and examined effectively in terms of appropriate binary operations. In this study, we investigate the structural development of generalized γ-derivations on distributive lattices, where γ denotes a lattice homomorphism. We establish the following characterization: let η be a mapping from a distributive lattice to itself. Then η is a generalized γ-derivation and a joinitive mapping if and only if η is a lattice homomorphism. Utilizing this homomorphic framework, we further analyze and derive several fundamental properties and salient characteristics of generalized γ-derivations. From an applications perspective, lattice structures play a central role in various domains, including information theory, information retrieval, and access control systems. Durfee employed techniques from the geometry of numbers to address a range of cryptanalytic problems. Moreover, several public-key cryptosystems have been subjected to cryptanalysis via algebraic methods, with key results obtained through tools originating in the theory of integer lattices.
Modeling and Analysis of a Dual Epidemic Process under Deterministic and Stochastic Frameworks
-
Aziz Laaribi
(
Sultan Moulay Slimane University
)
Modeling and Analysis of a Dual Epidemic Process under Deterministic and Stochastic Frameworks
Aziz Laaribi
(
Sultan Moulay Slimane University
)
18:00 - 18:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
This talk introduces a novel epidemic model that combines two distinct transmission mechanisms (SIS and SIR) to capture the simultaneous spread of two infectious diseases within a population. In the deterministic setting, we establish the existence and uniqueness of positive solutions and prove the local and global stability of the disease-free equilibrium. In the stochastic framework, we investigate the role of random perturbations and show that, depending on parameter conditions, the diseases may either go extinct or persist in the mean. Numerical simulations support the theoretical findings. This study highlights the relevance of considering multiple infections and environmental fluctuations in epidemic modeling, offering insights into the dynamics of coexisting diseases.
18:30
(α, n)-LAPLACE TRANSFORM AND THEIR APPLICATIONS
-
KHADIJA EL GOURMATI
(
Sultan Moulay Slimane University, Beni Mellal, Morocco.
)
(α, n)-LAPLACE TRANSFORM AND THEIR APPLICATIONS
KHADIJA EL GOURMATI
(
Sultan Moulay Slimane University, Beni Mellal, Morocco.
)
18:30 - 18:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this paper, we extend the formulas of both the Laplace and Sumudu transforms to the (α, n)-conformable fractional order, and we derive and analyze several fundamental properties related to these two transforms.
Global convergence for a class of nonquasimonotone epidemiological models with delay
-
Jaafar El Karkri
(
2Laboratory LERMA, Mohammadia School of Engineering, Mohammed V University
)
Kamal Ait Touchent
(
Laboratory 4 of Mathematics and Applications, Abdelmalek Essaadi University, Tangier, Morocco
)
Global convergence for a class of nonquasimonotone epidemiological models with delay
Jaafar El Karkri
(
2Laboratory LERMA, Mohammadia School of Engineering, Mohammed V University
)
Kamal Ait Touchent
(
Laboratory 4 of Mathematics and Applications, Abdelmalek Essaadi University, Tangier, Morocco
)
18:30 - 18:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
The new monotone dynamical theory is applied to a class of nonquasimonotone epidemic models with delay in this paper. Sufficient conditions for global convergence are derived. Next, we study an SIS epidemic model with an exponential demographic structure and disease-related deaths and delays that coincide with the duration of the infection. Sufficient conditions for local and global stability for both free and endemic equilibrium are shown, as well as numerical simulations of each result. Our findings show the effectiveness of the monotone dynamical systems approach in epidemiological studies.
Small-Jump Approximation for Infinite-Intensity L´evy Processes
-
Driss BOUGGAR
(
Hassan II University of Casablanca, Morocco.
)
Small-Jump Approximation for Infinite-Intensity L´evy Processes
Driss BOUGGAR
(
Hassan II University of Casablanca, Morocco.
)
18:30 - 18:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
We investigate L´evy processes with infinite jump intensity and study the approximation of compensated small jumps by a suitably scaled continuous stochastic process. We investigate the theoretical properties of small-jump approximations and study their convergence behavior in the framework of Lévy-driven stochastic models.
19:00
A two-step fractional kinetic model of a thermal explosion in class A geometries
-
M Er-Riani1
(
Abdelmalek Essaadi University,
)
A two-step fractional kinetic model of a thermal explosion in class A geometries
M Er-Riani1
(
Abdelmalek Essaadi University,
)
19:00 - 19:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this paper, we present a fractional model to study the heat transfer during the combustion of reactive materials on some class A geometries. A detailed chemistry model, which accounts for the initiation and termination steps with a temperature-dependent pre-exponential factor, was considered to describe the combustion of reactive materials. We numerically solve the mathematical model using a finite difference method based on the L1 formula, which allowed us to examine the transient heat behavior by exploring the effects of the kinetic parameters embedded in the governing fractional partial differential equation. Our results indicate that the reaction order reduces the exothermic chemical reaction, while the reaction rate accelerates the combustion process.
INTRINSIC METRICS AND GEOMETRY OF DIRICHLET FORMS
-
HANANA ELNAGE MOBARK
(
King Khalid University, Saudi Arabia
)
INTRINSIC METRICS AND GEOMETRY OF DIRICHLET FORMS
HANANA ELNAGE MOBARK
(
King Khalid University, Saudi Arabia
)
19:00 - 19:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
We present a general conception of intrinsic metrics and study some of their properties. We provide general regular Dirichlet forms. Given a regular, strongly local Dirichlet form ℇ, the local doubling and local Poincaré inequalities are satisfied; we obtain that the intrinsic differential and distance structures of ℇ coincide. This topic focuses on the extraction of an "intrinsic metric" from an abstract energy form, enabling the definition of distances and geometry on spaces that may lack a smooth differential structure (such as fractals or general metric measure spaces). The objective is to understand how "energy" dictates the topology and geometric properties of the space.
L-Dunford-Pettis property in Banach spaces
-
Abderrahman Retbi
(
Sultan Moulay Slimane University
)
Bouazza El Wahbi
(
Faculty of Sciences, Kenitra, Ibn Tofail University
)
L-Dunford-Pettis property in Banach spaces
Abderrahman Retbi
(
Sultan Moulay Slimane University
)
Bouazza El Wahbi
(
Faculty of Sciences, Kenitra, Ibn Tofail University
)
19:00 - 19:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
We introduce and study the concept of L-Dunford-Pettis sets and the L-Dunford-Pettis property in Banach spaces. Next, we give a characterization of the L-Dunford-Pettis property with respect to some well-known geometric properties of Banach spaces. Finally, some complementability of operators on Banach spaces with the L-Dunford-Pettis property is also investigated.
19:30
ABOODH RESIDUAL POWER SERIES METHOD FOR SOLVING LINEAR NEUTRAL FRACTIONAL PANTOGRAPH EQUATIONS
-
Rania Saadeh
(
Al-Balqa Applied University, Jordan
)
ABOODH RESIDUAL POWER SERIES METHOD FOR SOLVING LINEAR NEUTRAL FRACTIONAL PANTOGRAPH EQUATIONS
Rania Saadeh
(
Al-Balqa Applied University, Jordan
)
19:30 - 19:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In the current work, we suggest a better representation of the Aboodh residual power series method of solving the linear neutral fractional pantograph equations. Among other methods of analysis, the current framework introduces a methodical algorithmic process that allows managing the linear case in a systematic manner. The resulting formula offers solutions in the form of convergent chains of infinite representations that are too fast to converge and numerically stable and incredibly accurate approximations. Special attention is given to the convergence pattern and the accuracy of the obtained approximations in the case of the exact analytical solutions. To further confirm the strength and usability of the suggested method, a number of exemplary numerical examples are given. These illustrations point to the efficiency of the method and prove its high level of convergence rate and simplicity of the computation. Python was used to perform all the simulations and numerical calculations to make them reproducible and provide accuracy in computations.
Monogenity of pure number fields: application to the existence of canonical number systems
-
Hamid ben yakkou
(
Sultan Moulay Slimane University
)
Monogenity of pure number fields: application to the existence of canonical number systems
Hamid ben yakkou
(
Sultan Moulay Slimane University
)
19:30 - 19:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
Let m be a non-zero rational integer with m ̸= ±1, and consider the pure number field K = Q( n √ m), n ≥ 3. Most published works on the monogenity of pure number fields focus mainly on the case where m is square-free. For every positive integer n ≥ 4, the monogenity of number fields of degree n is not yet completely characterized. For instance, the monogenity of the pure quartic field Q( 4 √ m) remains open, even under the assumption that m is square-free. In this talk, we present new results on the monogenity of pure number fields K, without assuming that m is square-free. Our approach is based on a classical theorem of Ore on the decomposition of prime ideals in number fields, together with the use of Newton polygons. This technique will be briefly discussed. As an application, we provide several examples related to canonical number systems (CNS). In particular, we show that our results extend or partially complete several known results in the literature.
Numerical and Theoretical Analysis of Time-Fractional Variational Inequalities with Applications to Frictional Contact
-
Mustapha Bouallala
(
Polydisciplinary Faculty of Safi
)
Numerical and Theoretical Analysis of Time-Fractional Variational Inequalities with Applications to Frictional Contact
Mustapha Bouallala
(
Polydisciplinary Faculty of Safi
)
19:30 - 19:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this paper, we study a quasistatic frictional contact problem describing the interaction between a thermo-viscoelastic body and a thermally conductive foundation. The mechanical response of the material is modeled by a fractional Kelvin–Voigt constitutive relation, while the thermal behavior is governed by a time-fractional evolution equation for the temperature field. The contact conditions are formulated through the Signorini unilateral condition together with a Coulomb dry friction law. A variational framework for the coupled problem is established, and the existence of a weak solution is proved using techniques from monotone operator theory, the Galerkin approximation method, properties of the Caputo fractional derivative, and the Banach fixed-point theorem. Finally, numerical experiments are presented to validate the proposed model and to demonstrate the stability, accuracy, and effectiveness of the developed computational approach. Finally, numerical experiments are presented to validate the proposed model and to demonstrate the stability, accuracy, and effectiveness of the developed computational approach.
20:00
A Frational Extension of AdamW
-
Houssam Rachad
(
Sultan Moulay Slimane University
)
A Frational Extension of AdamW
Houssam Rachad
(
Sultan Moulay Slimane University
)
20:00 - 20:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
Adaptive optimizers such as Adam and AdamW have transformed large-scale machine learning, yet they share a common structural weakness: their memory of past gradients decays exponentially, so gradient information older than roughly $1/(1-\beta_{1})$ iterations rapidly vanishes. In highly non-convex, noisy, or ill-conditioned optimization landscapes, this short-memory mechanism may prevent the optimizer from exploiting long-range trajectory structure. We propose \emph{Adaptive Fractional AdamW} , a new optimizer that replaces the raw stochastic gradient in AdamW's moment estimates with a normalized fractional long-memory correction built on the Gr\"{u}nwald--Letnikov (G--L) operator. Unlike existing fractional optimizers that fix the fractional order $\alpha$ prior to training, FAAdamW continuously adapts $\alpha_t$ based on the current gradient norm: when gradients are large and informative the method behaves similarly to AdamW; when gradients are small or noisy it increases its effective memory depth automatically. We prove that FAAdamW reduces exactly to standard AdamW when the memory length $K=0$, establish a norm-boundedness lemma for the fractional correction, derive a per-step stability bound, and provide a conditional stationary-point convergence result under standard non-convex stochastic assumptions. We also present an approximate-reasoning interpretation of the correction as a convex combination of gradient evidence governed by a power-law credibility kernel, connecting the method to belief-function and possibility-theory frameworks. Experiments on five analytical benchmarks with stochastic noise, accompanied by ablation and sensitivity studies, demonstrate that FAAdamW is competitive with AdamW and other baselines, while providing improved stability and reduced variance in several noisy, ill-conditioned, and multimodal settings.
Higher-order conformable Operational Analysis: Properties and Intergal Transformation.
-
Mohammed Bouziani
(
Center for Educational Orientation and Planning (COPE), BP 6222, Avenue Zaytoune, Hay Ryad, Rabat, Morocco.
)
Higher-order conformable Operational Analysis: Properties and Intergal Transformation.
Mohammed Bouziani
(
Center for Educational Orientation and Planning (COPE), BP 6222, Avenue Zaytoune, Hay Ryad, Rabat, Morocco.
)
20:00 - 20:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
After presenting some results and introducing a new definition of the higher-order conformable derivative, we discuss how these findings relate to a novel idea: The higher-order conformable Laplace transform and the higher-order conformable Sumudu transform.
Parabolic Volterra Equations with Memory: Analytic Resolvents and Maximal Regularity
-
Khadija Zahidi
(
Sultan Moulay Slimane University
)
Parabolic Volterra Equations with Memory: Analytic Resolvents and Maximal Regularity
Khadija Zahidi
(
Sultan Moulay Slimane University
)
20:00 - 20:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this seminar, we focus on a class of parabolic Volterra equations in Banach spaces. We explain why the classical semigroup approach is not always sufficient and how resolvent families offer a more appropriate tool for studying these equations. The talk will highlight the role of parabolicity assumptions on the memory kernel and the linear operator, and show how these conditions lead to the existence of analytic resolvents. We will also discuss the regularizing properties of analytic resolvent families and their connection with maximal regularity. The aim is to present the main ideas in a clear and accessible way, while emphasizing the importance of these methods in the analysis of integro-differential evolution equations with memory.
20:30
Analysis of a Diffusive Epidemic Model (SIR) with Crowley–Martin Incidence and Holling Type III Treatment in a Heterogeneous Environment
-
Oualid Bahouh
(
Faculty of Sciences and Techniques, Beni Mellal
)
Analysis of a Diffusive Epidemic Model (SIR) with Crowley–Martin Incidence and Holling Type III Treatment in a Heterogeneous Environment
Oualid Bahouh
(
Faculty of Sciences and Techniques, Beni Mellal
)
20:30 - 20:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
We study a reaction–diffusion SIR model that incorporates nonlinear infection and treatment effects. We prove that the system is well posed by establishing the global existence of positive solutions and deriving uniform bounds. Using variational arguments, we formulate the basic reproduction number R0 and analyze its threshold properties. In particular, we study the local and global stability of the disease-free equilibrium (DFE). Numerical simulations illustrate and support the analytical results, highlighting how diffusion interacts with nonlinear incidence and saturating treatment in epidemic dynamics.
Construction of Resolvent Families via the Subordination Principle
-
Rachid GUIRHIR
(
Sultan Moulay Slimane University
)
Construction of Resolvent Families via the Subordination Principle
Rachid GUIRHIR
(
Sultan Moulay Slimane University
)
20:30 - 20:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this work, we investigate convolution-type Volterra integral equations through the subordination principle. This approach enables the construction of new resolvent families from already known ones. We first discuss several important classes of scalar kernels and present some of their fundamental properties. We then establish a representation formula for the subordinated resolvent family in terms of the original resolvent. The obtained results provide a useful framework for the analysis of Volterra equations and their associated resolvent families.
Fixed Point Theory for Contractive Mappings in G- Metric Spaces.
-
Manal Elzain Mohamed Abdalla
(
King Khalid University, Saudi Arabia
)
Fixed Point Theory for Contractive Mappings in G- Metric Spaces.
Manal Elzain Mohamed Abdalla
(
King Khalid University, Saudi Arabia
)
20:30 - 20:50
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
This study develops a systematic investigation of fixed-point theory for contractive mappings within the framework of complete G-metric spaces, we highlight possible applications of metric fixed-point theory across diverse scientific and engineering contexts, such as control theory, population dynamics, signal processing, and wavelet analysis. These applications demonstrate the broad potential of fixed-point methods in solving real-world problems, we focus on mappings defined on complete G-metric spaces, presenting convergence results and characterizing conditions under which mappings admit fixed points. Particular attention is given to the continuity properties of such mappings at fixed points and the uniqueness of solutions under contractive assumptions; finally, we extend the analysis to contractive mappings in G-metric spaces, establishing existence and uniqueness results under various contractive conditions. These results are further generalized to fuzzy metric spaces, cone metric spaces, generalized metric spaces, and complex-valued metric spaces, as well as to weakly compatible mappings under integral-type contractive conditions. Coincidence point theorems for sequentially continuous mappings are also addressed. The findings not only unify and extend several known fixed-point results but also provide new tools for the study of nonlinear boundary value problems and elliptic systems with singularities or discontinuities. Overall, this study underlines the central role of fixed-point theory as a bridge between abstract analysis and applied mathematical models.
21:00
Existence and uniqueness of a positive, compactly almost automorphic solution.
-
Youssef Lakdim
(
Faculté des Sciences Semlalia de Marrakech
)
Existence and uniqueness of a positive, compactly almost automorphic solution.
Youssef Lakdim
(
Faculté des Sciences Semlalia de Marrakech
)
21:00 - 21:20
Room: King Khalid University, Saudi Arabia. Sultan Moulay Slimane University, Morocco. Sorbonne University, France.
In this paper we consider the logistic equation with diffusion under the assumption that its coefficients are almost automorphic. We establish sufficient conditions for the existence and uniqueness of a positive, compactly almost automorphic solution on R. Moreover, we prove that this solution is spatially homogeneous and attracts all positive solutions.