Results in Applied Mathematics最新文献

{"title":"Corrigendum to : Mathematical and computational study of magnetohydrodynamic flow and mass transfer past a semi-infinite vertical plate.Results in Applied Mathematics Volume 30, May 2026, 100714","authors":"Yves Garnard Irilan, Paul André","doi":"10.1016/j.rinam.2026.100755","DOIUrl":"10.1016/j.rinam.2026.100755","url":null,"abstract":"","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100755"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149004509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Deterministic Ω-search for discrete configuration spaces","authors":"Nevena Ranković,&nbsp;Dragica Ranković","doi":"10.1016/j.rinam.2026.100745","DOIUrl":"10.1016/j.rinam.2026.100745","url":null,"abstract":"<div><div>Many computational workflows are governed by combinations of discrete design decisions. Such systems can be represented by configuration vectors whose components correspond to factor levels drawn from finite sets. Exhaustive exploration of the resulting configuration space rapidly becomes computationally infeasible as the number of factors increases. This paper introduces deterministic <span><math><mi>Ω</mi></math></span>-search, a structured exploration strategy for discrete configuration spaces based on orthogonal-array sampling. Instead of evaluating all admissible configurations, the method evaluates only a balanced subset defined by a combinatorial experimental design. We formalize the configuration-search problem, derive the induced response algebra under orthogonal-array sampling, and analyze several theoretical properties of the resulting estimators, including orthogonality of factor effects, unbiasedness of level means under balanced projections and bounded optimality under weak interactions. The combinatorial relation between Latin squares and orthogonal arrays is also discussed as a constructive mechanism for generating balanced experimental designs. Several standard designs, including <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>9</mn></mrow></msub></math></span>, <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>12</mn></mrow></msub></math></span>, <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>16</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>27</mn></mrow></msub></math></span>, are analyzed in terms of search-budget reduction. Finally, we provide formal guarantees for additive and weakly non-additive response surfaces.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100745"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148636097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A fitted numerical method for singularly perturbed parabolic differential equation with non-smooth data and large space delay","authors":"Fasika Wondimu Gelu,&nbsp;Wondimagegnehu Simon Hailu,&nbsp;Wondwosen Gebeyaw Melesse","doi":"10.1016/j.rinam.2026.100741","DOIUrl":"10.1016/j.rinam.2026.100741","url":null,"abstract":"<div><div>This paper introduces a parameter uniformly convergent numerical approach for a singularly perturbed parabolic partial differential equation with non-smooth data and large space delay. The aforementioned parabolic differential equation is discretized on a uniform mesh applying the Crank–Nicolson method for time direction and the new exponentially fitted numerical method for space direction. The proposed method established a quadratic order of convergence in both space and time directions by employing the Richardson extrapolation technique in space direction. Three numerical examples are used to validate the current method. The computed results confirmed that they outperformed other numerical results acquired using other numerical methods available in the literature.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100741"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148636100","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Estimation and modeling of novel hyperchaotic and fractional order Jerk systems for image encryption","authors":"Abou El Qassime Ali,&nbsp;El Ansari Youness,&nbsp;Abou El Qassime Mehdi,&nbsp;Chaayra Toufik","doi":"10.1016/j.rinam.2026.100752","DOIUrl":"10.1016/j.rinam.2026.100752","url":null,"abstract":"<div><div>This paper presents a systematic comparative analysis of seven hyperchaotic and fractional order Jerk systems for secure communication applications. Key dynamical metrics — Lyapunov exponents, Kaplan–Yorke dimensions, and attractor characteristics — are computed under identical simulation conditions using the Benettin–Wolf algorithm. The results reveal that four-dimensional and fractional order architectures consistently outperform classical third-order models, while hidden attractors provide additional structural security. Three systems satisfy the high-performance criteria (<span><math><mrow><mi>L</mi><msub><mrow><mi>E</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>&gt;</mo><mn>0.15</mn></mrow></math></span>, <span><math><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>K</mi><mi>Y</mi></mrow></msub><mo>&gt;</mo><mn>2.8</mn></mrow></math></span>); notably, the fractional order hypogenetic memristive system achieves the highest sensitivity (<span><math><mrow><mi>L</mi><msub><mrow><mi>E</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>=</mo><mn>0.7374</mn></mrow></math></span>, <span><math><mrow><msub><mrow><mi>D</mi></mrow><mrow><mi>K</mi><mi>Y</mi></mrow></msub><mo>=</mo><mn>3.281</mn></mrow></math></span>), whereas the integer-order hidden hyperchaotic system offers an optimal trade-off between dynamical complexity, structural security, and implementation efficiency. To validate practical applicability, the latter system is implemented in a complete image encryption scheme. Experiments on standard test images achieve near-ideal entropy (up to 7.9999), strong differential resistance (NPCR <span><math><mrow><mo>&gt;</mo><mn>99.6</mn><mtext>%</mtext></mrow></math></span>, UACI <span><math><mrow><mo>∈</mo><mrow><mo>[</mo><mn>32.44</mn><mtext>%</mtext><mo>,</mo><mn>33.51</mn><mtext>%</mtext><mo>]</mo></mrow></mrow></math></span>), and near-zero correlation coefficients, outperforming several recent state-of-the-art methods.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100752"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148776384","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Applications of double composed metric space to integral and functional equations","authors":"Irshad Ayoob","doi":"10.1016/j.rinam.2026.100763","DOIUrl":"10.1016/j.rinam.2026.100763","url":null,"abstract":"<div><div>A double composed metric space (DCMS) <span><math><mrow><mo>(</mo><mi>U</mi><mo>,</mo><mi>ρ</mi><mo>)</mo></mrow></math></span> is a generalized metric-type space in which the usual triangle inequality is replaced by the composed control inequality <span><span><span><math><mrow><mi>ρ</mi><mrow><mo>(</mo><mi>u</mi><mo>,</mo><mi>w</mi><mo>)</mo></mrow><mo>≤</mo><mi>φ</mi><mrow><mo>(</mo><mi>ρ</mi><mrow><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>+</mo><mi>ψ</mi><mrow><mo>(</mo><mi>ρ</mi><mrow><mo>(</mo><mi>v</mi><mo>,</mo><mi>w</mi><mo>)</mo></mrow><mo>)</mo></mrow><mo>,</mo><mspace></mspace><mi>u</mi><mo>,</mo><mi>v</mi><mo>,</mo><mi>w</mi><mo>∈</mo><mi>U</mi><mo>,</mo></mrow></math></span></span></span>where <span><math><mrow><mi>φ</mi><mo>,</mo><mi>ψ</mi><mo>:</mo><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>∞</mi><mo>)</mo></mrow><mo>→</mo><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>∞</mi><mo>)</mo></mrow></mrow></math></span> are suitable control functions. This structure was introduced by Ayoob et al. (2023), where fixed point results were established and the development of nontrivial applications, especially to integral equations, was suggested as an important open direction. In this paper, we address this direction by providing concrete applications of double composed metric spaces to nonlinear integral and functional equations in nonmetric settings. In particular, we consider spaces such as <span><math><mrow><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup><mrow><mo>[</mo><mn>0,1</mn><mo>]</mo></mrow></mrow></math></span>, <span><math><mrow><mn>0</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>1</mn></mrow></math></span>, where the usual metric triangle inequality fails and the classical Banach contraction principle is not directly applicable. We show that suitable function spaces can be treated as complete double composed metric spaces and then apply the generalized Banach type fixed point theorem in this framework to obtain existence and uniqueness results for nonlinear integral and functional equations.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100763"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148934989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analysis of a neutral-type two delay neural network with Caputo–Fabrizio fractional derivative: Stability, bifurcation and numerical simulation","authors":"Suman Devi Yadav,&nbsp;Mamta Gupta,&nbsp;Komal Prasad Sharma","doi":"10.1016/j.rinam.2026.100744","DOIUrl":"10.1016/j.rinam.2026.100744","url":null,"abstract":"<div><div>In this work, a feedforward neural network (FNN) model with two delayed components is proposed and analyzed using the Caputo–Fabrizio (C–F) fractional derivative. The existence and uniqueness of the solution are recognized within the considered time interval. In this study, we analyzed the bifurcation induced by the two delay factors and investigated the stability of the initial state of the FNDNN. We perform graphical simulations to confirm the accuracy of the analytical results obtained. The work evaluates the effects of two delay variables on the stability of the FNDNN and the occurrence of bifurcation. The theoretical outcomes developed in this study have substantial representative meaning in the monitoring of the neural network.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100744"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148636099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Multilinearization of polynomial models by linear state transformation","authors":"Christoph Kaufmann,&nbsp;Sabine Le Borne,&nbsp;Gerwald Lichtenberg,&nbsp;Simon Wallgram","doi":"10.1016/j.rinam.2026.100762","DOIUrl":"10.1016/j.rinam.2026.100762","url":null,"abstract":"<div><div>Many problems in engineering involve the analysis and model-based control of nonlinear systems. Often a tradeoff exists between the fidelity of the model and the computational complexity of analysis and design algorithms. Multilinear models offer significant advantages in this regard since they can be represented as tensors which enables efficient representation and computation, even in high-dimensional settings. This paper deals with the multilinearization of polynomial models through linear transformation. We are able to provide a comprehensive analysis for the case of two variables. For the higher dimensional case, we propose partial solutions which exploit our results for the two-dimensional case. We perform theoretical runtime analyses of the resulting algorithms which we also illustrate through numerical results.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100762"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148934372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A finite difference approach for a spatially inhomogeneous Kuramoto–Sivashinsky equation arising from flame propagation on accordion-folded paper","authors":"Shunsuke Kobayashi,&nbsp;Shigetoshi Yazaki","doi":"10.1016/j.rinam.2026.100754","DOIUrl":"10.1016/j.rinam.2026.100754","url":null,"abstract":"<div><div>We study a spatially inhomogeneous Kuramoto–Sivashinsky equation arising as a reduced one-dimensional model for downward flame propagation on accordion-folded paper, where the folded geometry induces spatially varying coefficients. We develop a Crank–Nicolson-type finite difference scheme and prove the existence and uniqueness of the fully discrete solution together with second-order convergence in space and time. To the best of our knowledge, this provides the first rigorous convergence analysis of a finite difference scheme for the so-called “integral” form of the Kuramoto–Sivashinsky equation with spatially varying coefficients. Numerical experiments confirm that the proposed method reproduces experimentally observed trends in flame propagation speed for different folding configurations.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100754"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148776287","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Asymptotic theory for conditional U-statistics on hyperspherical domains under measurement error","authors":"Salim Bouzebda,&nbsp;Nourelhouda Taachouche","doi":"10.1016/j.rinam.2026.100751","DOIUrl":"10.1016/j.rinam.2026.100751","url":null,"abstract":"&lt;div&gt;&lt;div&gt;We develop a deconvolution theory for conditional &lt;span&gt;&lt;math&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-functionals of arbitrary order when the conditioning variable is a latent hyperspherical covariate observed under rotational measurement error. The statistical model assumes that the unobserved regressor &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; is observed only through &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Z&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;mi&gt;X&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, where &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;mo&gt;∈&lt;/mo&gt;&lt;mi&gt;SO&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; is an independent random rotation with known distribution. This gives rise to an inverse problem which is not covered by the standard Euclidean or compact-Lie-group deconvolution theories: although the noise acts through the rotation group, the predictor itself lies on the homogeneous space &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;, which is not a Lie group for &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mo&gt;≠&lt;/mo&gt;&lt;mn&gt;1,3&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. Consequently, the deconvolution analysis must be carried out through the interaction between spherical harmonics on &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt; and the rotational Fourier transform on &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;SO&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;d&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. We introduce a spectral deconvolution estimator for general-order conditional &lt;span&gt;&lt;math&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-statistics based on truncated Fourier–Laplace expansions and inversion of the rotational Fourier matrices associated with the measurement-error distribution. We prove uniform consistency of the induced product-density estimator and establish &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;L&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;-risk bounds for the resulting conditional &lt;span&gt;&lt;math&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-functional estimator. The bounds quantify the combined effect of Laplace–Beltrami smoothness, harmonic multiplicities, the order of the &lt;span&gt;&lt;math&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-statistic, and the ill-posedness of the rotational convolution operator. We further distinguish ordinary-smooth, super-smooth, and log-super-smooth rotational error regimes, thereby extending the classical smoothness taxonomy of deconvolution to hyperspherical domains through the spectral behavior of inverse rotational Fourier matrices. In the ordinary-smooth regime, we derive pointwise asymptotic normality by combining a Hoeffding decomposition with variance estimates for deconvolution-based hyperspherical &lt;span&gt;&lt;math&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;-statistics. This yields asymptotic confidence intervals for nonlinear conditional interaction functionals, including conditional Kendall-type dependence measures. The finite-sample behavior of the method is investigated through Monte Carlo experiments","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100751"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148776290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"GPU accelerated solution of fractional-order neutron diffusion and telegraph models using vectorized Separation of Variables method","authors":"Parag R. Patil,&nbsp;Vishwesh A. Vyawahare,&nbsp;Sharad P. Jadhav","doi":"10.1016/j.rinam.2026.100761","DOIUrl":"10.1016/j.rinam.2026.100761","url":null,"abstract":"<div><div>This paper presents a GPU-accelerated framework for solving Fractional-order Neutron Diffusion Equation (FONDE) and Fractional-order Neutron Telegraph Equation (FONTE) models using the Separation of Variables (SoV) method. The conventional SoV implementation is reformulated as a vector–matrix framework to exploit GPU parallelism and reduce computational cost. The proposed algorithms are implemented on GPU and evaluated against sequential and vectorized CPU implementations. The results demonstrate substantial reductions in execution time while maintaining numerical accuracy, with Mean-squared Error (MSE) values indicating close agreement between CPU and GPU solutions. The proposed framework provides an efficient and scalable approach for accelerating fractional-order nuclear reactor simulations and offers a foundation for extending GPU-based computation to more complex reactor models.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"31 ","pages":"Article 100761"},"PeriodicalIF":1.5,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148934990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}