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Arabian Journal of Mathematics最新文献

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On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis 关于一类高阶递推关系：对称性、公式解、周期性和稳定性分析
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-08-10 DOI: 10.1007/s40065-023-00438-9
Mensah Folly-Gbetoula
{"title":"On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis","authors":"Mensah Folly-Gbetoula","doi":"10.1007/s40065-023-00438-9","DOIUrl":"10.1007/s40065-023-00438-9","url":null,"abstract":"<div><p>In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability character of the equilibrium points. We utilize Lie symmetry analysis as part of our approach together with some number theoretic functions. Our findings generalize certain results in the literature.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"541 - 551"},"PeriodicalIF":1.2,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00438-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50467836","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}
引用次数: 0
Wiener–Hopf technique for a fractional mixed boundary value problem in cylindrical layer 圆柱层中分数混合边值问题的Wiener-Hopf技术
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-07-07 DOI: 10.1007/s40065-023-00437-w
Alireza Ansari, Mohammad Rasool Masomi
{"title":"Wiener–Hopf technique for a fractional mixed boundary value problem in cylindrical layer","authors":"Alireza Ansari,&nbsp;Mohammad Rasool Masomi","doi":"10.1007/s40065-023-00437-w","DOIUrl":"10.1007/s40065-023-00437-w","url":null,"abstract":"<div><p>In this paper, we study the heat transfer modeling during freezing of a biological tissue and present an analytical approach for solving the heat transfer problem in cryosurgery. We consider a time-fractional bio-heat equation in the cylindrical coordinate and employ the Wiener–Hopf technique to find the temperature of tissue in two different domains by the factorization of associated Wiener–Hopf kernel. We discuss the fundamental roles of the Bessel and Wright functions in determining the analytical solution of fractional cryosurgery problem.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"483 - 497"},"PeriodicalIF":1.2,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00437-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50459537","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}
引用次数: 0
Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator 一类含p-Laplacian算子的混合型分数阶微分方程的存在唯一性和Ulam稳定性结果
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-06-27 DOI: 10.1007/s40065-023-00436-x
E. Kenef, I. Merzoug, A. Guezane-Lakoud
{"title":"Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator","authors":"E. Kenef,&nbsp;I. Merzoug,&nbsp;A. Guezane-Lakoud","doi":"10.1007/s40065-023-00436-x","DOIUrl":"10.1007/s40065-023-00436-x","url":null,"abstract":"<div><p>In this paper, we study a nonlinear fractional p-Laplacian boundary value problem containing both left Riemann–Liouville and right Caputo fractional derivatives with initial and integral conditions. Some new results on the existence and uniqueness of a solution for the model are obtained as well as the Ulam stability of the solutions. Two examples are provided to show the applicability of our results.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"633 - 645"},"PeriodicalIF":1.2,"publicationDate":"2023-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00436-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50517765","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}
引用次数: 0
On convergence of infinite products of convex combinations of mappings in CAT(0) spaces 关于CAT（0）空间中映射凸组合的无穷乘积的收敛性
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-06-21 DOI: 10.1007/s40065-023-00434-z
Rafael Espínola-García, Aleksandra Huczek
{"title":"On convergence of infinite products of convex combinations of mappings in CAT(0) spaces","authors":"Rafael Espínola-García,&nbsp;Aleksandra Huczek","doi":"10.1007/s40065-023-00434-z","DOIUrl":"10.1007/s40065-023-00434-z","url":null,"abstract":"<div><p>We study the weak convergence of infinite products of convex combinations of operators in complete CAT(0) spaces. We provide a new approach to this problem by considering a constructive selection of convex combinations in CAT(0) spaces that does not depend on the order of the involved elements and retain continuity properties with respect to them.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"353 - 361"},"PeriodicalIF":1.2,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00434-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50502842","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}
引用次数: 0
Lie symmetry analysis and some new exact solutions of the Fokker–Planck equation 李对称性分析和Fokker-Planck方程的一些新的精确解
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-06-20 DOI: 10.1007/s40065-023-00435-y
Samar Al-Nassar, Mehdi Nadjafikhah
{"title":"Lie symmetry analysis and some new exact solutions of the Fokker–Planck equation","authors":"Samar Al-Nassar,&nbsp;Mehdi Nadjafikhah","doi":"10.1007/s40065-023-00435-y","DOIUrl":"10.1007/s40065-023-00435-y","url":null,"abstract":"<div><p>The classical symmetry method is often employed to find precise solutions to differential equations. This method has yielded several new symmetry reductions and exact solutions for numerous theoretically and physically relevant partial differential equations. These results, as well as the symmetries of a variety of specific cases of the Fokker–Planck equation, were presented in this study using the classical Lie symmetry approach. New exact solutions to the Fokker–Planck equations are provided for each of the six cases.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"467 - 482"},"PeriodicalIF":1.2,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00435-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50500125","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}
引用次数: 0
Common stationary point of multivalued asymptotically regular mappings 多值渐近正则映射的公共平稳点
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-06-15 DOI: 10.1007/s40065-023-00432-1
Abdul Rahim Khan, Dolapo Muhammed Oyetunbi, Chinedu Izuchukwu
{"title":"Common stationary point of multivalued asymptotically regular mappings","authors":"Abdul Rahim Khan,&nbsp;Dolapo Muhammed Oyetunbi,&nbsp;Chinedu Izuchukwu","doi":"10.1007/s40065-023-00432-1","DOIUrl":"10.1007/s40065-023-00432-1","url":null,"abstract":"<div><p>We establish a relationship between asymptotic regularity and common stationary points of multivalued mappings on a metric space. As a consequence of our results, we obtain a new common fixed point result for two asymptotically regular single-valued mappings. Our work significantly improves and complements comparable results in the literature.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 2","pages":"379 - 388"},"PeriodicalIF":1.2,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00432-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50483930","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}
引用次数: 0
Conjugate complex harmonic functions 共轭复调和函数
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-06-15 DOI: 10.1007/s40065-023-00433-0
Lino F. Reséndis O, Luis M. Tovar S, Yesenia Bravo O
{"title":"Conjugate complex harmonic functions","authors":"Lino F. Reséndis O,&nbsp;Luis M. Tovar S,&nbsp;Yesenia Bravo O","doi":"10.1007/s40065-023-00433-0","DOIUrl":"10.1007/s40065-023-00433-0","url":null,"abstract":"<div><p>This paper presents several properties and relations that satisfy the components of a bicomplex holomorphic function. It also exhibits several analogies and differences with the case of analytic functions.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"667 - 684"},"PeriodicalIF":1.2,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00433-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50483931","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}
引用次数: 0
Well-posedness and decay in a system of hyperbolic and biharmonic-wave equations with variable exponents and weak dampings 变指数弱阻尼双曲和双调和波动方程组的适定性和衰变
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-05-30 DOI: 10.1007/s40065-023-00431-2
Oulia Bouhoufani
{"title":"Well-posedness and decay in a system of hyperbolic and biharmonic-wave equations with variable exponents and weak dampings","authors":"Oulia Bouhoufani","doi":"10.1007/s40065-023-00431-2","DOIUrl":"10.1007/s40065-023-00431-2","url":null,"abstract":"<div><p>In this paper, we consider a coupled system of hyperbolic and biharmonic-wave equations with variable exponents in the damping and coupling terms. In each equation, the damping term is modulated by a time-dependent coefficient <i>a</i>(<i>t</i>) (or <i>b</i>(<i>t</i>)). First, we state and prove a well-posedness theorem of global weak solutions, by exploiting Galerkin’s method and some compactness arguments. Then, using the multiplier method, we establish the decay rates of the solution energy, under suitable assumptions on the time-dependent coefficients and the range of the variable exponents. We end our work with some illustrative examples.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"513 - 528"},"PeriodicalIF":1.2,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00431-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50526853","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}
引用次数: 0
Weighted fractional stochastic integro-differential equation with infinite delay 具有无限时滞的加权分数阶随机积分微分方程
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-05-27 DOI: 10.1007/s40065-023-00430-3
Fatima Zahra Arioui
{"title":"Weighted fractional stochastic integro-differential equation with infinite delay","authors":"Fatima Zahra Arioui","doi":"10.1007/s40065-023-00430-3","DOIUrl":"10.1007/s40065-023-00430-3","url":null,"abstract":"<div><p>In this paper, we consider a weighted fractional stochastic integro-differential equation with infinite delay and nonzero initial values involving a Riemann–Liouville fractional derivative of order <span>(1/2&lt;alpha &lt;1)</span>. The existence of a mild solution is investigated using fractional calculus, stochastic analysis, and the fixed point theorem. An example is also provided to illustrate the obtained result.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"499 - 511"},"PeriodicalIF":1.2,"publicationDate":"2023-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00430-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50518379","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}
引用次数: 0
The eigenvalue problem for Kirchhoff-type operators in Musielak–Orlicz spaces Musielak–Orlicz空间中Kirchhoff型算子的特征值问题
IF 1.2
Arabian Journal of Mathematics Pub Date : 2023-05-18 DOI: 10.1007/s40065-023-00429-w
Osvaldo Méndez
{"title":"The eigenvalue problem for Kirchhoff-type operators in Musielak–Orlicz spaces","authors":"Osvaldo Méndez","doi":"10.1007/s40065-023-00429-w","DOIUrl":"10.1007/s40065-023-00429-w","url":null,"abstract":"<div><p>Given a Musielak–Orlicz function <span>(varphi (x,s):Omega times [0,infty )rightarrow {mathbb R})</span> on a bounded regular domain <span>(Omega subset {mathbb R}^n)</span> and a continuous function <span>(M:[0,infty )rightarrow (0,infty ))</span>, we show that the eigenvalue problem for the elliptic Kirchhoff’s equation <span>(-Mleft( int limits _{Omega }varphi (x,|nabla u(x)|)textrm{d}xright) text {div}left( frac{partial varphi }{partial s}(x,|nabla u(x)|)frac{nabla u(x)}{|nabla u(x)|}right) =lambda frac{partial varphi }{partial s}(x,|u(x)|)frac{u(x)}{|u(x)|} )</span> has infinitely many solutions in the Sobolev space <span>(W_0^{1,varphi }(Omega ))</span>. No conditions on <span>(varphi )</span> are required beyond those that guarantee the compactness of the Sobolev embedding theorem.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"12 3","pages":"613 - 631"},"PeriodicalIF":1.2,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-023-00429-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50494451","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}
引用次数: 0
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