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Journal of Innovative Applied Mathematics and Computational Sciences最新文献

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On a viscoelastic plate equation with a polynomial source term and p(x,t)-Laplacian operator in the presence of delay term 对源项为多项式且存在延迟项的p(x,t)-拉普拉斯算子粘弹性板方程
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-06-30 DOI: 10.58205/jiamcs.v2i1.30
A. Merah, F. Mesloub
{"title":"On a viscoelastic plate equation with a polynomial source term and p(x,t)-Laplacian operator in the presence of delay term","authors":"A. Merah, F. Mesloub","doi":"10.58205/jiamcs.v2i1.30","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i1.30","url":null,"abstract":"In this paper, the blow-up of solutions for a Dirichlet-Neumann problem to initial nonlinear viscoelastic plate equation with a lower order perturbation of p(x,t)-Laplacian operator in the presence of time delay is obtained. Under suitable conditions on g and the variable exponent of the p(x,t)-Laplacian operator, we prove that any weak solution with nonpositive initial energy as well as positive initial energy blows up in a finite time.\u0000 \u0000 ","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126415958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The expressions and behavior of solutions for nonlinear systems of rational difference equations 非线性有理数差分方程组解的表达式和性质
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-06-23 DOI: 10.58205/jiamcs.v2i1.24
E. Elsayed, Kholoud N. Alharbi
{"title":"The expressions and behavior of solutions for nonlinear systems of rational difference equations","authors":"E. Elsayed, Kholoud N. Alharbi","doi":"10.58205/jiamcs.v2i1.24","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i1.24","url":null,"abstract":"In this paper, we investigate the form of the solutions of two systems of rational difference equations of second order, where the initial conditions are arbitrary nonzero real numbers.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121604881","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Exponential growth of solution for a couple of semi-linear pseudo-parabolic equations with memory and source terms 具有记忆项和源项的半线性伪抛物方程解的指数增长
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-05-18 DOI: 10.58205/jiamcs.v2i1.23
Amar Ouaoua, Wissem Boughamsa
{"title":"Exponential growth of solution for a couple of semi-linear pseudo-parabolic equations with memory and source terms","authors":"Amar Ouaoua, Wissem Boughamsa","doi":"10.58205/jiamcs.v2i1.23","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i1.23","url":null,"abstract":"This work is concerned with coupled semi-linear pseudo-parabolic equations with memory terms in both equations, associated with the homogeneous Dirichlet boundary condition. We show that the solution grows exponentially under specific conditions regarding the relaxation functions and initial energy. In order to prove the result, we use the energy method based on the construction of a suitable Lyapunov function.The most important behavior of the evolution system is the exponential growth phenomena because of its wide range of applications in modern science, such as chemistry, biology, ecology, and other areas of engineering and physical sciences.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129526234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space Banach空间中具有混合分数阶积分边界条件的非线性Hilfer分数阶微分方程的非紧性测度
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-05-15 DOI: 10.58205/jiamcs.v2i1.9
Maamar Benbachir, Abdelatif Boutiara
{"title":"Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space","authors":"Maamar Benbachir, Abdelatif Boutiara","doi":"10.58205/jiamcs.v2i1.9","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i1.9","url":null,"abstract":"The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative. The proof is based on Monch's fixed point theorem and the technique of measures of noncompactness. Two examples illustrating the main results are also constructed.\u0000 ","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129583493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Taylor collocation method for high-order neutral delay Volterra integro-differential equations 高阶中立型时滞Volterra积分-微分方程的Taylor配点法
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-05-12 DOI: 10.58205/jiamcs.v2i1.10
H. Laib, A. Bellour, Aissa Boulmerka
{"title":"Taylor collocation method for high-order neutral delay Volterra integro-differential equations","authors":"H. Laib, A. Bellour, Aissa Boulmerka","doi":"10.58205/jiamcs.v2i1.10","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i1.10","url":null,"abstract":"In this paper, the Taylor collocation method is applied to numerically solve a kth-order neutral linear Volterra integro-differential equation with constant delay and variable coefficients.We also provide a rigorous analysis to estimate the difference between the exact and approximate solution and their derivatives up to order k-1. Numerical examples are included to prove the performance of the presented convergent algorithm.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124101049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Existence and ulam stability of k-generalized ψ-Hilfer fractional problem k-广义ψ-Hilfer分数问题的存在性与ulam稳定性
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-05-07 DOI: 10.58205/jiamcs.v2i2.19
J. Lazreg, M. Benchohra, Abdelkrim Salim
{"title":"Existence and ulam stability of k-generalized ψ-Hilfer fractional problem","authors":"J. Lazreg, M. Benchohra, Abdelkrim Salim","doi":"10.58205/jiamcs.v2i2.19","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i2.19","url":null,"abstract":"In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative. The result is based on the Banach contraction mapping principle. In addition, two examples are given to illustrate our results.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129721926","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On weighted Calderon-Zygmund singular integrals and applications 加权Calderon-Zygmund奇异积分及其应用
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-02-20 DOI: 10.58205/jiamcs.v2i1.12
Ahmed Loulit
{"title":"On weighted Calderon-Zygmund singular integrals and applications","authors":"Ahmed Loulit","doi":"10.58205/jiamcs.v2i1.12","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i1.12","url":null,"abstract":"This paper studies some weighted norm inequalities related to some Calderon-Zygmund singular integrals. Applications to the Sobolev-Gagliardo-Nirenberg inequality, differential forms, and the potential equation du= f are given.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133491554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalization of fractional Laplace transform for higher order and its application 高阶分数阶拉普拉斯变换的推广及其应用
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2021-12-30 DOI: 10.58205/jiamcs.v1i1.2
Ahmed Bouchenak
{"title":"Generalization of fractional Laplace transform for higher order and its application","authors":"Ahmed Bouchenak","doi":"10.58205/jiamcs.v1i1.2","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.2","url":null,"abstract":"In this paper, we first introduce the conformable fractional Laplace transform. Then, we give its generalization for higher-order. Finally, as an application, we solve a non-homogeneous conformable fractional differential equation with variable coefficients and a system of fractional differential equations.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124582140","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Recent progress in the conductivity reconstruction in Calderón’s problem Calderón问题中电导率重建的最新进展
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2021-12-30 DOI: 10.58205/jiamcs.v1i1.4
Manal Aoudj
{"title":"Recent progress in the conductivity reconstruction in Calderón’s problem","authors":"Manal Aoudj","doi":"10.58205/jiamcs.v1i1.4","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.4","url":null,"abstract":"In this work, we study a nonlinear inverse problem for an elliptic partial differential equation known as the Calderón problem or the inverse conductivity problem. We give a short survey on the reconstruction question of conductivity from measurements on the boundary by covering the main currently known results regarding the isotropic problem with full data in two and higher dimensions. We present Nachman’s reconstruction procedure and summarize the theoretical progress of the technique to more recent results in the field. An open problem of significant interest is proposed to check whether it is possible to extend the method for Lipschitz conductivities.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121570290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On periodic solutions of fractional-order differential systems with a fixed length of sliding memory 具有固定滑动记忆长度的分数阶微分系统的周期解
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2021-12-30 DOI: 10.58205/jiamcs.v1i1.6
S. Bourafa, Mohammed Salah Abdelouahab, R. Lozi
{"title":"On periodic solutions of fractional-order differential systems with a fixed length of sliding memory","authors":"S. Bourafa, Mohammed Salah Abdelouahab, R. Lozi","doi":"10.58205/jiamcs.v1i1.6","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.6","url":null,"abstract":"The fractional-order derivative of a non-constant periodic function is not periodic with the same period. Consequently, any time-invariant fractional-order systems do not have a non-constant periodic solution. This property limits the applicability of fractional derivatives and makes it unfavorable to model periodic real phenomena.This article introduces a modification to the Caputo and Rieman-Liouville fractional-order operators by fixing their memory length and varying the lower terminal. It is shown that this modified definition of fractional derivative preserves the periodicity. Therefore, periodic solutions can be expected in fractional-order systems in terms of the new fractional derivative operator. To confirm this assertion, one investigates two examples, one linear system for which one gives an exact periodic solution by its analytical expression and another nonlinear system for which one provides exact periodic solutions using qualitative and numerical methods.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127319987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
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