Well‐Posedness and Stability Result of the Nonlinear Thermodiffusion Full von Kármán Beam with Thermal Effect and Time‐Varying Delay

A Choucha, D Ouchenane… - Journal of Function …, 2021 - Wiley Online Library
In this work, we consider a new full von Kármán beam model with thermal and mass
diffusion effects according to the Gurtin‐Pinkin model combined with time‐varying delay …

Further Results on the (p, k)−Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

M Hidan, SM Boulaaras, BB Cherif… - Mathematical Problems …, 2021 - Wiley Online Library
In a previous article, first and last researchers introduced an extension of the hypergeometric
functions which is called “(p, k)‐extended hypergeometric functions.” Motivated by this work …

Investigation of the k-analogue of Gauss hypergeometric functions constructed by the Hadamard product

M Abdalla, M Hidan - Symmetry, 2021 - mdpi.com
Traditionally, the special function theory has many applications in various areas of
mathematical physics, economics, statistics, engineering, and many other branches of …

Exponential Stabilization of a Swelling Porous‐Elastic System with Microtemperature Effect and Distributed Delay

A Choucha, SM Boulaaras… - Journal of Function …, 2021 - Wiley Online Library
Exponential Stabilization of a Swelling Porous‐Elastic System with Microtemperature Effect and
Distributed Delay Page 1 Research Article Exponential Stabilization of a Swelling …

[PDF][PDF] On Hankel transforms of generalized Bessel matrix polynomials

M Abdalla - AIMS Mathematics, 2021 - aimspress.com
The present article deals with the evaluation of the Hankel transforms involving Bessel
matrix functions in the kernel. Moreover, these transforms are associated with products of …

[PDF][PDF] Existence results for some elliptic systems with perturbed gradient

TS Ait, HH El, C Allalou, K Hilal - Filomat, 2023 - doiserbia.nb.rs
In this paper, we consider the existence of weak solutions for some nonlinear elliptic
problems with perturbed gradient under homogeneous Dirichlet boundary conditions. We …

Controllability of Stochastic Delay Systems Driven by the Rosenblatt Process

B Almarri, X Wang, AM Elshenhab - Mathematics, 2022 - mdpi.com
In this work, we consider dynamical systems of linear and nonlinear stochastic delay-
differential equations driven by the Rosenblatt process. With the aid of the delayed matrix …

[PDF][PDF] The Galerkin Method for Fourth‐Order Equation of the Moore–Gibson–Thompson Type with Integral Condition

A Mesloub, A Zaraï, F Mesloub… - Advances in …, 2021 - pdfs.semanticscholar.org
Research on the nonlinear propagation of sound in a situation of high amplitude waves has
shown literature on physically well-founded partial differential models (see, eg,[1–23]). This …

[PDF][PDF] Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition

A Choucha, S Boulaaras, D Ouchenane… - AIMS …, 2021 - aimspress.com
Existence and uniqueness for Moore--Gibson--Thompson equation with, source terms,
viscoelastic memory and integral condition Page 1 http://www.aimspress.com/journal/Math …

A New Result of Stability for Thermoelastic‐Bresse System of Second Sound Related with Forcing, Delay, and Past History Terms

D Ouchenane, Z Khalili, F Yazid… - Journal of Function …, 2021 - Wiley Online Library
We consider a one‐dimensional linear thermoelastic Bresse system with delay term, forcing,
and infinity history acting on the shear angle displacement. Under an appropriate …