Search Results - "FINO, AHMAD Z."
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1
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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2
Nonexistence of Global Positive Solutions for p-Laplacian Equations with Non-Linear Memory
Published in Fractal and fractional (01-12-2021)“…The Cauchy problem in Rd,d≥1, for a non-local in time p-Laplacian equations is considered. The nonexistence of nontrivial global weak solutions by using the…”
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3
Blow-up rates for a higher-order semilinear parabolic equation with nonlinear memory term
Published in Applicable analysis (22-09-2022)“…In this paper, we establish blow-up rates for a higher-order semilinear parabolic equation with nonlocal in time nonlinearity with no positive assumption on…”
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4
Finite Time Blow-Up for Wave Equations with Strong Damping in an Exterior Domain
Published in Mediterranean journal of mathematics (01-12-2020)“…We consider the initial boundary value problem in exterior domain for strongly damped wave equations with power-type nonlinearity | u | p . We will establish…”
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5
Blow‐up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain
Published in Mathematical methods in the applied sciences (30-05-2021)“…In this paper, we consider the initial boundary value problem in an exterior domain for semilinear strongly damped wave equations with power nonlinear term of…”
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6
Fujita-type results for the degenerate parabolic equations on the Heisenberg groups
Published in Nonlinear differential equations and applications (01-03-2024)“…In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain…”
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7
Critical exponent for damped wave equations with nonlinear memory
Published in Nonlinear analysis (01-11-2011)“…We consider the Cauchy problem in R n , n ≥ 1 , for a semilinear damped wave equation with nonlinear memory. Global existence and asymptotic behavior as t → ∞…”
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8
Blow‐up results for a semi‐linear structural damped wave model with nonlinear memory
Published in Mathematische Nachrichten (01-02-2022)“…In this article, we study the nonexistence of global solutions to a semi‐linear structurally damped wave equation with nonlinear memory in Rn$\mathbb {R}^n$…”
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9
Critical exponent for semi‐linear structurally damped wave equation of derivative type
Published in Mathematical methods in the applied sciences (30-11-2020)“…The main purpose of this paper is to study the following semi‐linear structurally damped wave equation with nonlinearity of derivative type:…”
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10
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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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
Liouville-Type Theorems for Sign-Changing Solutions to Nonlocal Elliptic Inequalities and Systems with Variable-Exponent Nonlinearities
Published in Mediterranean journal of mathematics (01-08-2021)“…We consider the fractional elliptic inequality with variable-exponent nonlinearity ( - Δ ) α 2 u + λ Δ u ≥ | u | p ( x ) , x ∈ R N , where N ≥ 1 , α ∈ ( 0 , 2…”
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13
Analytical solution for a generalized space-time fractional telegraph equation
Published in Mathematical methods in the applied sciences (30-09-2013)“…In this paper, we consider a nonhomogeneous space‐time fractional telegraph equation defined in a bounded space domain, which is obtained from the standard…”
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14
Blow-up solutions of second-order differential inequalities with a nonlinear memory term
Published in Nonlinear analysis (01-04-2012)“…We consider the Cauchy problem for second-order nonlinear ordinary differential inequalities with a nonlinear memory term. We obtain blow-up results under some…”
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15
Qualitative properties of solutions to a nonlocal evolution system
Published in Mathematical methods in the applied sciences (01-06-2011)“…In this paper, we investigate the local existence and the finite‐time blow‐up of solutions for a semi‐linear parabolic system with a nonlinear memory…”
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16
Decay of mass for fractional evolution equation with memory term
Published in Quarterly of applied mathematics (01-06-2013)“…We investigate the decay properties of the mass $M\left( t \right) = {\smallint _{{R^N}}}u\left( {\cdot,t} \right)dx$ of the solutions of a fractional…”
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17
Blow-up and global existence for semilinear parabolic systems with space-time forcing terms
Published in Chaos, solitons and fractals (01-06-2021)“…We investigate the finite time blow-up and global existence of sign-changing solutions to the Cauchy problem for the inhomogeneous semilinear parabolic system…”
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18
Global existence for wave equations with scale-invariant time-dependent damping and time derivative nonlinearity
Published 20-09-2024“…This paper addresses the Cauchy problem for wave equations with scale-invariant time-dependent damping and nonlinear time-derivative terms, modeled as…”
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19
A competition on blow-up for semilinear wave equations with scale-invariant damping and nonlinear memory term
Published 26-03-2022“…In this paper, we investigate blow-up of solutions to semilinear wave equations with scale-invariant damping and nonlinear memory term in $\mathbb{R}^n$, which…”
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20
Blow-up rates for higher-order semilinear parabolic equations with nonlinear memory term
Published 27-05-2020“…In this paper, we establish blow-up rates for higher-order semilinear parabolic equations with nonlocal in time nonlinearity with no positive assumption on the…”
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