Ahmed Bouchenak
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View article: An Analytical and Numerical Approach to Vegetation–Nutrient Dynamics Involving Symbiotic Nitrogen Fixation and the Allee Effect
An Analytical and Numerical Approach to Vegetation–Nutrient Dynamics Involving Symbiotic Nitrogen Fixation and the Allee Effect Open
This study develops a nonlinear dynamical system with three variables representing the standardized abundances of a leguminous plant, a non-leguminous plant, and a nutrient resource. The system is governed by a set of nonlinear conformable…
View article: Numerical Analysis of a SEIHRD Model for a Hypothetical Ebola Outbreak During the 2025 Hajj Season in Saudi Arabia
Numerical Analysis of a SEIHRD Model for a Hypothetical Ebola Outbreak During the 2025 Hajj Season in Saudi Arabia Open
Saudi Arabia, one of the world’s most frequented destinations for foreign visitors and pilgrims—particularly during the Hajj season—faces an elevated risk of infectious disease outbreaks due to the high influx of international travelers. O…
View article: Results on the existence of solutions for conformable evolution differential equations with non-local conditions
Results on the existence of solutions for conformable evolution differential equations with non-local conditions Open
This paper investigates the existence of solutions for conformable evolution differential equations under non-local conditions. Using fixed-point theory and analytical methods, we establish solution existence for equations involving confor…
View article: Study and Analysis of Taylor’s Series using The Modified Conformable Operator
Study and Analysis of Taylor’s Series using The Modified Conformable Operator Open
In this paper, we explore an essential concept in mathematics: Taylor’s series. To examine its behavior in fractional calculus, we utilize the modified conformable operator, which provides significant results by satisfying most properties …
View article: Generalization of the Nonlinear Bernoulli Conformable Fractional Differential Equations with Applications
Generalization of the Nonlinear Bernoulli Conformable Fractional Differential Equations with Applications Open
In this work, we study a well-known nonlinear fractional differential equation—the nonlinear Bernoulli conformable fractional differential equation. We classify this equation into different categories and establish a fundamental lemma esse…
View article: Mathematical modeling of human–rodent monkeypox infectious disease using a hierarchical approach
Mathematical modeling of human–rodent monkeypox infectious disease using a hierarchical approach Open
View article: Atomic exact solution for some fractional partial differential equations in Banach spaces
Atomic exact solution for some fractional partial differential equations in Banach spaces Open
The use of classical methods to solve some fractional partial differential equations, usually, leads to dead ends with no possible solutions as the separation of variables. Hence, in this paper, we use the theory of tensor product of Banac…
View article: Impulsive conformable evolution equations in Banach spaces with fractional semigroup
Impulsive conformable evolution equations in Banach spaces with fractional semigroup Open
In this paper, we explore the existence, uniqueness, and stability of mild solutions in impulsive differential equations featuring conformable fractional derivatives. Our principal findings leverage fractional semigroup theory, complemente…
View article: Fractional Laplace transform for matrix valued functions with applications
Fractional Laplace transform for matrix valued functions with applications Open
We extend several fractional Laplace transform results to matrix-valued functions in this paper, which we will utilize to obtain some useful and valuable theorems, like results on the set of the piecewise continuous functions with conforma…
View article: Existence and Uniqueness Study of the Conformable Laplace Transform
Existence and Uniqueness Study of the Conformable Laplace Transform Open
This paper tackles the topic of conformable Laplace transform. The authors aim at discussing its existence by exploring and providing the kind of functions that possess a conformable Laplace transform. Furthermore, the comparison theorem o…
View article: Generalization of fractional Laplace transform for higher order and its application
Generalization of fractional Laplace transform for higher order and its application Open
In this paper, we first introduce the conformable fractional Laplace transform. Then, we give its generalization for higher-order. Finally, as an application, we solve a non-homogeneous conformable fractional differential equation with var…
View article: Fractional Fourier Series with Separation of Variables Technique and Its Application on Fractional differential Equations
Fractional Fourier Series with Separation of Variables Technique and Its Application on Fractional differential Equations Open
When using some classical methods, such us separation of variables; it is impossible to find a general solution for some differential equations. Therefore, we suggest adding conformable fractional Fourier series to get a new technique to s…