Search Results - "Mokhtar Kirane"

A general blow-up result for a degenerate hyperbolic inequality in an exterior domain by Jleli, Mohamed, Kirane, Mokhtar, Samet, Bessem

“…In this paper, we consider a degenerate hyperbolic inequality in an exterior domain under three types of boundary conditions: Dirichlet-type, Neumann-type, and…”
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Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group by Kirane, Mokhtar, Aimene, Djihad, Seba, Djamila

“…This paper is a development of the results and techniques of the two papers (Carvalho-Neto and Planas in J Differ Equ 259:2948–2980, 2015; Oka in J Math Anal…”
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Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data by Mokhtar Kirane, Bessem Samet, Berikbol T. Torebek

“…We consider a class of problems modeling the process of determining the temperature and density of nonlocal sub-diffusion sources given by initial and finite…”
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Lyapunov‐ and Hartman–Wintner‐type inequalities for a nonlinear fractional BVP with generalized ψ‐Hilfer derivative by Zohra, Berrabah Fatima, Benaouda, Hedia, Mokhtar, Kirane

“…In this paper, we extend Lyapunov‐ and Hartman–Wintner‐type inequalities for fractional differential equation with Dirichlet‐type boundary conditions and…”
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Blowing-up solutions of the time-fractional dispersive equations by Alsaedi, Ahmed, Ahmad, Bashir, Kirane, Mokhtar, Torebek, Berikbol T.

“…This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers,…”
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Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative by Kirane, Mokhtar, Sarsenbi, Abdissalam A.

“…In the present work, two-dimensional mixed problems with the Caputo fractional order differential operator are studied using the Fourier method of separation…”
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On the sub–diffusion fractional initial value problem with time variable order by Cuesta, Eduardo, Kirane, Mokhtar, Alsaedi, Ahmed, Ahmad, Bashir

“…We consider a fractional derivative with order varying in time. Then, we derive for it a Leibniz' inequality and an integration by parts formula. We also study…”
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Nonexistence of global solutions of fractional diffusion equation with time-space nonlocal source by Nabti, Abderrazak, Alsaedi, Ahmed, Kirane, Mokhtar, Ahmad, Bashir

“…We prove the nonexistence of solutions of the fractional diffusion equation with time-space nonlocal source u t + ( − Δ ) β 2 u = ( 1 + | x | ) γ ∫ 0 t ( t − s…”
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Global existence for time-dependent damped wave equations with nonlinear memory by Kirane, Mokhtar, Fino, Ahmad Z., Alsaedi, Ahmed, Ahmad, Bashir

“…In this article, we consider the Cauchy problem for a semi-linear wave equation with time-dependent damping and memory nonlinearity. Conditions for global…”
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An Inverse Problem for a Non-Homogeneous Time-Space Fractional Equation by El Hamidi, Abdallah, Kirane, Mokhtar, Tfayli, Ali

“…We consider the inverse problem of finding the solution of a generalized time-space fractional equation and the source term knowing the spatial mean of the…”
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On nonexistence of solutions to some time space fractional evolution equations with transformed space argument by Alsaedi, Ahmed, Kirane, Mokhtar, Fino, Ahmad Z., Ahmad, Bashir

“…Some results on nonexistence of nontrivial solutions to some time and space fractional differential evolution equations with transformed space argument are…”
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Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations by Bashir Ahmad, Ahmed Alsaedi, Mohamed Berbiche, Mokhtar Kirane

“…We study the Cauchy problem for a system of semi-linear coupled fractional-diffusion equations with polynomial nonlinearities posed in $\mathbb{R}_{+}\times…”
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Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition by Timurkhan S. Aleroev, Mokhtar Kirane, Salman A. Malik

“…We consider a linear heat equation involving a fractional derivative in time, with a nonlocal boundary condition. We determine a source term independent of the…”
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Discussion of some inequalities via fractional integrals by Kirane, Mokhtar, Samet, Bessem

“…Recently, many generalizations and extensions of well-known inequalities were obtained via different kinds of fractional integrals. In this paper, we show that…”
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An Exterior Parabolic Differential Inequality Under Semilinear Dynamical Boundary Conditions by Alqahtani, Awatif, Jleli, Mohamed, Kirane, Mokhtar, Samet, Bessem

“…We study the existence and nonexistence of global weak solutions to the semilinear parabolic differential inequality ∂ t u - Δ u ≥ | u | p , ( t , x ) ∈ ( 0 ,…”
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Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group by Ahmed Alsaedi, Bashir Ahmad, Mokhtar Kirane, Aberrazak Nabti

“…We consider the higher order diffusion Schrodinger equation with a time nonlocal nonlinearity $$ i\partial_tu-(-\Delta_{\mathbb{H}})^mu…”
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Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains by Jleli Mohamed, Kirane Mokhtar, Samet Bessem

“…We consider a higher-order evolution differential inequality in an exterior domain of ℝN{\mathbb{R}^{N}}, N≥3{N\geq 3}, with Dirichlet and Neumann boundary…”
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Identifying initial condition of the Rayleigh‐Stokes problem with random noise by Nguyen, Hoang Luc, Nguyen, Huy Tuan, Mokhtar, Kirane, Duong Dang, Xuan Thanh

“…We investigate a backward problem for the Rayleigh‐Stokes problem, which aims to determine the initial status of some physical field such as temperature for…”
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Uniform boundedness and extinction results of solutions to a predator–prey system by Kirane, Mokhtar, Badraoui, Salah, Guedda, Mohammed

“…Global existence, positivity, uniform boundedness and extinction results of solutions to a system of reaction-diffusion equations on unbounded domain modeling…”
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Qualitative properties of solutions to a time-space fractional evolution equation by FINO, AHMAD Z., KIRANE, MOKHTAR

“…In this article, we analyze a spatiotemporally nonlocal nonlinear parabolic equation. First, we validate the equation by an existence-uniqueness result. Then,…”
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