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Boundary Value Problems
Scopus
ISSN 1687-2770 · SpringerOpen · 2.207 artikel di indeks
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Artikel Jurnal
Finite–N scaling, gelation cutoff, and matched asymptotics for Smoluchowski coagulation equation
Abstract We develop a finite-N matched-asymptotic theory for Smoluchowski coagulation. Starting from the infinite system of ODEs, we use conservation laws to obtain closed scalar evolution equations for suitable moments. For the constant kernel a j , k = K $a_{j,k}=K$ , this leads to an exact…
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Artikel Jurnal
Asymptotic stability and optimal control for a stochastic two-compartment pharmacokinetic model
Abstract In this paper, we present a modified two-compartment model for intravenous pharmacokinetics that incorporates stochastic dynamics using optimal control. The objective of the control approach is to minimize the total administered drug quantity while ensuring its therapeutic efficacy. In…
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Artikel Jurnal
Computational study of fractional partial differential equations using the second-kind Chebyshev collocation technique with error analysis
Abstract This paper presents and establishes the Chebyshev collocation method, which generates numerical solutions for nonlinear fractional partial differential equations such as the fractional diffusion, wave, and Korteweg–De Vries equations. To obtain the novel fractional derivative operational…
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Artikel Jurnal
Dynamical aspects of poliomyelitis disease via non-singular fractional differential equations: mathematical and biological aspects
Abstract Global public health continues to be significantly threatened by infectious diseases, demanding the creation of reliable mathematical models for their investigation and management. Despite being on the verge of eradication, the polio virus is nevertheless a subject of worry owing to its…
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Artikel Jurnal
Analysis of nonlinear fractal-fractional differential equations with double discrete delays via Atangana-Baleanu-Caputo operator: theory and biological applications
Abstract This research article is mainly focussed on a general problem of fractal-fractional differential equations (FFDEs) with double discrete delays. For This article investigates a class of fractal-fractional differential equations (FFDEs) involving two discrete delays. To establish the…
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Artikel Jurnal
Stochastic modeling of wildfire spread using deep recurrent neural networks: a data-driven computational approach for analyzing natural hazards
Abstract Wildfires pose a serious threat to humans, animals, ecosystems and infrastructure. The complex and uncertain interactions in wildfire spread between environmental conditions, human activities, and inherent randomness make it difficult to rely solely on a deterministic modeling approach…
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Artikel Jurnal
Normalized solutions for a kind of Schrödinger equations with general potential and mass-supercritical
Abstract We are concerned with a kind of Schrödinger equations with general potential and mass-supercritical. By introducing new assumptions on the potential and the nonlinearity, we obtain convincing arguments to construct the existence of normalized solutions via critical point theory. This work…
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Artikel Jurnal
Numerical method based on sinc functions for solving singularly perturbed Fredholm integro-differential equations
Abstract A numerical method based on sinc functions is developed and examined to approximate the solution of singularly perturbed Fredholm integro-differential equations. This method involves combining sinc basis functions with nonclassical weight functions. With this method, the difficulty of the…
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Artikel Jurnal
Novel analysis of linear and nonlinear fractional KdV and Kolmogorov equations
Abstract In this paper, the Tantawy Least Square Method (TLSM) is presented and used to achieve approximate solutions to fractional-order partial differential equations (FPDEs) with the Caputo derivative. The suggested method is a combination of the least squares approximation and Tantawy…
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Artikel Jurnal
Combining conformable operator with Elzaki Adomian decomposition and reduced differential transform for time-fractional diffusion equations
Abstract The present paper deals with the numerical solutions of time-fractional diffusion equations that play important roles in modeling anomalous diffusion processes in many physical systems. We explore two semi-analytical methods, the Conformable Elzaki Adomian Decomposition Method (CEADM) and…
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Artikel Jurnal
Normalized ground states for a nonlinear Schrödinger equation with double critical nonlinearities
Abstract We consider the constrained nonlinear Schrödinger problem in R N $\mathbb{R}^{N}$ ( N ≥ 3 $N\ge 3$ ) where 2 < p , m < 2 + 4 N $2< p,m 0 $a,\mu ,\kappa >0$ , and γ > 0 $\gamma >0$ is a parameter. We prove that there exists an explicit threshold γ 0 = γ 0 ( a , μ , κ , N , p , m ) > 0…
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Artikel Jurnal
On a singular anisotropic parabolic equation related to the p → ( x ) $\vec{p}(x)$ -Laplacian
Abstract This paper investigates a singular anisotropic parabolic equation associated with the p i ( x ) $p_{i}(x)$ -Laplacian operator. By employing the anisotropic Gagliardo-Sobolev-Nirenberg inequality and a modified Di Giorgi iteration technique, we derive a uniform L ∞ $L^{\infty}$ -estimate…
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Artikel Jurnal
A new type of integral transform and its applications to the solution of differential equations
Abstract In this paper, we introduce a novel integral transform to address certain ordinary differential equations, and it has been demonstrated that this transform possesses unique and highly advantageous properties. We examine this fascinating integral transform and its effectiveness in solving…
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Artikel Jurnal
Non-negative and positive solutions for some indefinite sublinear elliptic problems
Abstract We study the existence of non-negative and positive solutions to the indefinite sublinear elliptic problem − Δ u = λ u + m ( x ) | u | α − 1 u $\ -\Delta u=\lambda u+m(x)\left \vert u\right \vert ^{\alpha -1}u$ in Ω, u = 0 $u=0$ on ∂Ω, where Ω is a smooth bounded domain in R N…
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Artikel Jurnal
Asymptotic analysis of the biharmonic Schrödinger equation with fractional damping
Abstract In this paper, we study the decay behavior of solutions to the biharmonic Schrödinger equation under the effect of internal fractional damping. By employing semigroup theory and energy methods, we establish well-posedness results and investigate the long-time behavior of solutions. In…
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Artikel Jurnal
Regularized long wave equations and diffusion equation using Tantawy least square method
Abstract This paper presents a new semi-analytical method, the Tantawy Least Squares Method (TLSM), to solve fractional-order regularised long wave (RLW) equation, diffusion equations, and Rosenau-Hyman (RH) equation. Compared with the existing semi-analytical approaches, TLSM combines the…
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Artikel Jurnal
Novel analysis of fractional-order nonlinear generalized coupled Hirota-Satsuma and Korteweg-de Vries (KdV) systems
Abstract This study presents an analytical investigation of the fractional-order nonlinear third-order Korteweg-de Vries (KdV) equation and the generalized coupled Hirota-Satsuma KdV (HS-KdV) system using two powerful semi-analytical approaches: the Conformable Residual Power Series Method (CRPSM)…
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Artikel Jurnal
A randomized fractional modeling of pest management dynamics for tea plant (Camellia sinensis) with parameter adaptation to Turkish data
Abstract Fractional differential equations offer a detailed analysis of modeling problems. Many pest management models have been investigated by using fractional calculus and although these models provide a generalized approach, the inability to handle uncertainty highlights the need to incorporate…
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Artikel Jurnal
Some decay results in Timoshenko beam with microtemperatures of type III
Abstract The governing equations of the thermoelastic Timoshenko beam with microtemperatures are derived based on type III entropy balance. Our development of this theory is prompted by the increasing use of materials that exhibit thermal variations at the microstructure level. According to this…
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Artikel Jurnal
Construction of novel plethora of soliton solutions for conformable fractional HIV-1 infection model
Abstract In this research study, an analytical examination of a conformable fractional mathematical equation that models CD4+ T-cell infection by HIV-1 is provided. To examine the multifaceted nature of HIV-1 infection and discover valuable information about the mechanism of its spread in the group…
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