Mathematical Methods in the Applied Sciences最新文献

{"title":"Analytical and Numerical Investigations on the Existence and Stability of Fractional \u0000 \u0000 \u0000 p\u0000 \u0000 $$ p $$\u0000 -Laplacian Equations Subject to Integral Boundary Conditions","authors":"Faouzi Haddouchi","doi":"10.1002/mma.70789","DOIUrl":"https://doi.org/10.1002/mma.70789","url":null,"abstract":"<div>\u0000 \u0000 <p>This work aims to carry out a detailed investigation on the existence, uniqueness, and stability of the solutions of <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>p</mi>\u0000 </mrow>\u0000 <annotation>$$ p $$</annotation>\u0000 </semantics></math>-Laplacian Caputo fractional differential equations with integral boundary condition. To begin, the properties of the associated Green's functions are derived. Next, the existence and uniqueness of the solutions are then examined by employing two classical fixed point theorems. Additionally, we verify that the formulated problem preserves its stability in the sense defined by Ulam–Hyers. Examples including tables and figures with numerical results are provided to illustrate the applications of our findings.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 13","pages":"14363-14381"},"PeriodicalIF":2.0,"publicationDate":"2026-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696231","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Statistical Soliton on Statistical Perfect Fluid Space-Time","authors":"Fatemeh Asali,&nbsp;Mohammad Bagher Kazemi Balgeshir","doi":"10.1002/mma.70791","DOIUrl":"https://doi.org/10.1002/mma.70791","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we introduce the perfect fluid space-time, soliton, and concircular vector field of a statistical manifold. We explore both geometric and physical properties of statistical perfect fluid space-times under a framework of almost statistical solitons. We prove key results related to the divergence of almost statistical solitons vector fields. Explicit relations of differentiable functions, conditions associated with the statistical concircular vector fields, are stated. Also, the interaction of statistical solitons conditions with vector fields associated with a statistical Ricci curvature is investigated, and constraints on scalar fields and curvature tensors are obtained.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 13","pages":"14420-14431"},"PeriodicalIF":2.0,"publicationDate":"2026-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analysis of the Fractional Mathematical Model for Lung Cancer Dynamics With the Effects of Chemotherapy, Hypoxia, and Immunotherapy","authors":"Haroon Tabassum,&nbsp;Sanaa Ahmed Bajri,&nbsp;Alhanouf Alburaikan,&nbsp;Hamiden Abd El-Wahed Khalifa,&nbsp;Gul khan","doi":"10.1002/mma.70793","DOIUrl":"https://doi.org/10.1002/mma.70793","url":null,"abstract":"<div>\u0000 \u0000 <p>The study strives to formulate and examine a fractional nonlinear dynamic model of lung cancer that integrates the impacts of chemotherapy, hypoxia, and immunotherapy. The presence and uniqueness of the fractional lung cancer model have been shown. The Hyers–Ulam stability of the lung cancer model is examined as well. A lung cancer model has been assessed quantitatively using the Atangana–Toufik methodology. A computer simulation demonstrates that chemotherapy, hypoxia, and immunotherapy significantly reduce the dissemination of lung cancer to other regions.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 13","pages":"14548-14562"},"PeriodicalIF":2.0,"publicationDate":"2026-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Riemann–Hilbert Problem and Inverse Scattering Analysis for a New Generalized Variable-Coefficients Pavlov System","authors":"Linlin Gui,&nbsp;Yufeng Zhang","doi":"10.1002/mma.70784","DOIUrl":"https://doi.org/10.1002/mma.70784","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, we introduce a pair of two-dimensional non-isospectral vector fields whose commutation gives rise to a new variable-coefficients integrable system which can reduce to the well-known Pavlov equation. We refer to the new integrable system as the (2 + 1)-dimensional generalized variable-coefficients Pavlov (gVCP) system: (a) studying the inverse scattering and Cauchy problems via the inverse scattering transform (IST); (b) constructing the localized solutions of the gVCP via the Riemann–Hilbert (RH) method; (c) analyzing the large <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>t</mi>\u0000 </mrow>\u0000 <annotation>$$ t $$</annotation>\u0000 </semantics></math> behavior of the solutions of the Cauchy problem for the gVCP system; (d) characterizing a class of implicit solutions of the gVCP system.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 13","pages":"14325-14334"},"PeriodicalIF":2.0,"publicationDate":"2026-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Two-Dimensional Carreau Law for a Quasi-Newtonian Fluid Flow Through a Thin Domain With a Slightly Rough Boundary","authors":"María Anguiano,&nbsp;Francisco Javier Suárez-Grau","doi":"10.1002/mma.70803","DOIUrl":"https://doi.org/10.1002/mma.70803","url":null,"abstract":"<div>\u0000 \u0000 <p>This study investigates the asymptotic behavior of the steady-state quasi-Newtonian Stokes flow with viscosity given by the Carreau law within a thin domain, focusing on the effects of a rough boundary of the domain. Employing asymptotic techniques with respect to the domain's thickness, we rigorously derive the effective nonlinear two-dimensional Reynolds model describing the fluid flow. The mathematical analysis is based on deriving the sharp a priori estimates and proving the compactness results of the rescaled functions together with monotonicity arguments. The resulting limit model incorporates contributions of the oscillating boundary and thus, it could prove useful in the applications involving this lubrication regime.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 13","pages":"14625-14649"},"PeriodicalIF":2.0,"publicationDate":"2026-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Recovering a Time-Dependent Diffusion Coefficient From Flux Data in a Fractional Diffusion Model With a Higher-Order Boundary Condition","authors":"Bauyrzhan Derbissaly,&nbsp;Medina Kassen,&nbsp;Makhmud Sadybekov,&nbsp;Madi Yergaliyev","doi":"10.1002/mma.70802","DOIUrl":"https://doi.org/10.1002/mma.70802","url":null,"abstract":"<div>\u0000 \u0000 <p>We study an inverse problem for a time-fractional diffusion equation with a Robin condition at <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>x</mi>\u0000 <mo>=</mo>\u0000 <mn>0</mn>\u0000 </mrow>\u0000 <annotation>$$ x=0 $$</annotation>\u0000 </semantics></math> and an eigenparameter-dependent higher-order boundary condition at <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>x</mi>\u0000 <mo>=</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 <annotation>$$ x=1 $$</annotation>\u0000 </semantics></math>. For the direct problem we prove existence, uniqueness, and regularity of mild solutions. For the inverse recovery of a positive time-varying coefficient <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 <mo>(</mo>\u0000 <mi>t</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$$ k(t) $$</annotation>\u0000 </semantics></math>, we introduce a monotone nonlinear operator whose fixed points correspond to data-consistent coefficients. Monotonicity yields uniqueness, and under mild assumptions the associated fixed-point (<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>K</mi>\u0000 </mrow>\u0000 <annotation>$$ K $$</annotation>\u0000 </semantics></math>-) iteration is monotone, bounded, and convergent. A modal discretization with L1 time stepping implements the iteration efficiently. Numerical experiments corroborate the theory and examine robustness to noise and the effect of the fractional order <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>α</mi>\u0000 </mrow>\u0000 <annotation>$$ alpha $$</annotation>\u0000 </semantics></math>.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 13","pages":"14601-14624"},"PeriodicalIF":2.0,"publicationDate":"2026-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148696320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On the Construction of a Solution of a Horn-Type System in the Form of Polynomials of Two Variables","authors":"Meiramgul Talipova","doi":"10.1002/mma.70751","DOIUrl":"https://doi.org/10.1002/mma.70751","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper considers a generalized system of second-order partial differential equations of hypergeometric type that encompasses all 34 Horn series in two variables. Using the modified FrobeniusLatysheva method, we analyze the behavior of solutions near singular points and curves. Conditions for the existence and structure of solutions in the form of generalized power series are obtained, along with recurrence relations for the coefficients. Examples of hypergeometric functions of types <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_1 $$</annotation>\u0000 </semantics></math>, <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>H</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>2</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {H}_2 $$</annotation>\u0000 </semantics></math> and <span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mrow>\u0000 <mi>F</mi>\u0000 </mrow>\u0000 <mrow>\u0000 <mn>4</mn>\u0000 </mrow>\u0000 </msub>\u0000 </mrow>\u0000 <annotation>$$ {F}_4 $$</annotation>\u0000 </semantics></math> are provided to validate the proposed approach. The results are of interest for studies in mathematical physics and the theory of special functions.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 12","pages":"13401-13411"},"PeriodicalIF":2.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148565135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Aperiodically Strictly Intermittent Event-Triggered Control for Fixed/Predefined-Time Consensus of Nonlinear Multi-Agent Systems","authors":"Xingyu Wu,&nbsp;Jie Gao,&nbsp;Yue Wang,&nbsp;Xia Feng,&nbsp;Xin Zhou","doi":"10.1002/mma.70715","DOIUrl":"https://doi.org/10.1002/mma.70715","url":null,"abstract":"<div>\u0000 \u0000 <p>This article investigates the fixed-time (F-T) and predefined-time (P-T) consensus for nonlinear multi-agent systems (NMASs) via aperiodically strictly intermittent event-triggered control (ASIETC). Firstly, a novel F-T stability lemma is proposed, which could provide an accurate estimation of the settling time (ST) under the aperiodically intermittent control. Subsequently, by using the proposed lemma, F-T consensus of NMASs could be achieved via ASIETC. Note that the ASIETC is aperiodical and strictly intermittent, which is more flexible and effective in information transmission and energy saving than the periodically and non-strictly intermittent control. Furthermore, P-T consensus of NMASs could be derived by adjusting the parameters of the ASIETC. The ST of P-T consensus is independent of the initial values and the parameters of NMASs, which is more suitable for the actual application than the finite/F-T consensus. Additionally, Zeno behavior could be excluded by proving that any event triggering interval is greater than zero. Finally, the theoretical findings presented in this article are validated through the use of numerical example.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 12","pages":"13001-13018"},"PeriodicalIF":2.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148576133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"f\u0000 \u0000 \u0000 −\u0000 \u0000 $$ - $$\u0000 Dirac\u0000 \u0000 \u0000 −\u0000 \u0000 $$ - $$\u0000 Harmonic Maps","authors":"Serhan Eker","doi":"10.1002/mma.70729","DOIUrl":"https://doi.org/10.1002/mma.70729","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, f<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 </mrow>\u0000 <annotation>$$ - $$</annotation>\u0000 </semantics></math>Dirac<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 </mrow>\u0000 <annotation>$$ - $$</annotation>\u0000 </semantics></math>harmonic maps are studied. Monotonicity formulas for solutions of these equations are derived. Moreover, a Liouville theorem for f<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 </mrow>\u0000 <annotation>$$ - $$</annotation>\u0000 </semantics></math>Dirac<span></span><math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>−</mo>\u0000 </mrow>\u0000 <annotation>$$ - $$</annotation>\u0000 </semantics></math>harmonic maps is proved.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 12","pages":"13267-13283"},"PeriodicalIF":2.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148576140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Second-Order Immersed Interface Method for Degenerate Parabolic Interface Problems","authors":"Miguel Uh Zapata,&nbsp;Reymundo Itzá Balam,&nbsp;Silvia Jerez","doi":"10.1002/mma.70718","DOIUrl":"https://doi.org/10.1002/mma.70718","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper we consider a second-order immersed interface method for reaction-convection-diffusion partial differential equations with a degenerate diffusion term. We assume that the diffusion coefficient is discontinuous across an interface and vanishes on one of its sides. The proposed formulation consider the degeneration as a discontinuous coefficient interface problem. The numerical solution is computed using standard centered finite difference schemes away from the interface along with a novel scheme specifically designed for the interface region. This new scheme introduces modified finite-difference coefficients and contribution terms that explicitly incorporate known jump values at the interface. As a consequence, this approach ensures a globally second-order accurate numerical solution. Theoretical results on truncation error for one-dimensional degenerate elliptic problems are first presented followed by an analysis of the modifications necessary for achieving accurate numerical solutions in degenerate parabolic problems. Next, the numerical implementation of the two-dimensional problem is introduced. Finally, numerical examples for several benchmark problems show the robustness, accuracy, and efficiency of the proposed scheme.</p>\u0000 </div>","PeriodicalId":49865,"journal":{"name":"Mathematical Methods in the Applied Sciences","volume":"49 12","pages":"13019-13052"},"PeriodicalIF":2.0,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148576134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}