Search Results - "KIRANE, MOKHTAR"
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1
A general blow-up result for a degenerate hyperbolic inequality in an exterior domain
Published in Bulletin of mathematical sciences (01-12-2023)“…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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2
Local and global existence of mild solutions of time-fractional Navier–Stokes system posed on the Heisenberg group
Published in Zeitschrift für angewandte Mathematik und Physik (01-06-2021)“…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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3
Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data
Published in Electronic journal of differential equations (11-10-2017)“…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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4
Lyapunov‐ and Hartman–Wintner‐type inequalities for a nonlinear fractional BVP with generalized ψ‐Hilfer derivative
Published in Mathematical methods in the applied sciences (01-02-2021)“…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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5
Blowing-up solutions of the time-fractional dispersive equations
Published in Advances in nonlinear analysis (01-01-2021)“…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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6
Solvability of Mixed Problems for a Fourth-Order Equation with Involution and Fractional Derivative
Published in Fractal and fractional (01-01-2023)“…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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7
On the sub–diffusion fractional initial value problem with time variable order
Published in Advances in nonlinear analysis (04-06-2021)“…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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8
Nonexistence of global solutions of fractional diffusion equation with time-space nonlocal source
Published in Advances in difference equations (07-11-2020)“…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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9
Global existence for time-dependent damped wave equations with nonlinear memory
Published in Advances in nonlinear analysis (18-11-2023)“…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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10
An Inverse Problem for a Non-Homogeneous Time-Space Fractional Equation
Published in Mathematics (Basel) (01-08-2022)“…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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11
On nonexistence of solutions to some time space fractional evolution equations with transformed space argument
Published in Bulletin of mathematical sciences (01-08-2023)“…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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12
Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations
Published in Electronic journal of differential equations (01-11-2020)“…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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13
Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition
Published in Electronic journal of differential equations (06-12-2013)“…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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14
Discussion of some inequalities via fractional integrals
Published in Journal of inequalities and applications (2018)“…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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15
An Exterior Parabolic Differential Inequality Under Semilinear Dynamical Boundary Conditions
Published in Bulletin of the Malaysian Mathematical Sciences Society (01-03-2021)“…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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16
Lifespan of solutions of a fractional evolution equation with higher order diffusion on the Heisenberg group
Published in Electronic journal of differential equations (01-01-2020)“…We consider the higher order diffusion Schrodinger equation with a time nonlocal nonlinearity $$ i\partial_tu-(-\Delta_{\mathbb{H}})^mu…”
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17
Blow-Up Results for Higher-Order Evolution Differential Inequalities in Exterior Domains
Published in Advanced nonlinear studies (01-05-2019)“…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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18
Identifying initial condition of the Rayleigh‐Stokes problem with random noise
Published in Mathematical methods in the applied sciences (30-03-2019)“…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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19
Uniform boundedness and extinction results of solutions to a predator–prey system
Published in Electronic journal of qualitative theory of differential equations (01-01-2020)“…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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20
Qualitative properties of solutions to a time-space fractional evolution equation
Published in Quarterly of applied mathematics (01-03-2012)“…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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