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Boundary value problem for hybrid generalized Hilfer fractional differential equations 混合广义Hilfer分数阶微分方程的边值问题
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-27
Abdelkrim Salim, B. Ahmad, M. Benchohra, J. Lazreg
{"title":"Boundary value problem for hybrid generalized Hilfer fractional differential equations","authors":"Abdelkrim Salim, B. Ahmad, M. Benchohra, J. Lazreg","doi":"10.7153/dea-2022-14-27","DOIUrl":"https://doi.org/10.7153/dea-2022-14-27","url":null,"abstract":". This manuscript is concerned with the existence of solutions for a class of boundary value problems for nonlinear fractional hybrid differential equations involving generalized Hilfer fractional derivative. The main result is based on a fi xed point theorem due to Dhage, which is illustrated with examples.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115534361","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: 7
An efficient heat problem 一个有效的热问题
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-16
T. Burton
{"title":"An efficient heat problem","authors":"T. Burton","doi":"10.7153/dea-2022-14-16","DOIUrl":"https://doi.org/10.7153/dea-2022-14-16","url":null,"abstract":". By means of fi xed point theory we study properties of solutions of a Volterra integral heat equation by fi mapping it into where is the resolvent of JA , J is a large positive number, and f is bounded. It turns out that the linear part has a unique fi xed point which is a uniformly good approximation of a fi xed point for the non- linear equation.Theobjective is to obtain conditions under which the heat applied by a ( t ) concentrates on the solution x ( t ) .","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128321303","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 and fractional hybrid differential equations with hybrid conditions 具有混合条件的分数阶混合微分方程的非紧性测度
Differential Equations & Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-09
C. Derbazi, Hadda Hammouche, Abdelkrim Salim, M. Benchohra
{"title":"Measure of noncompactness and fractional hybrid differential equations with hybrid conditions","authors":"C. Derbazi, Hadda Hammouche, Abdelkrim Salim, M. Benchohra","doi":"10.7153/dea-2022-14-09","DOIUrl":"https://doi.org/10.7153/dea-2022-14-09","url":null,"abstract":". This paper deals with the existence of solutions for hybrid fractional differential equa- tions involving Caputo fractional derivative of order 2 < ζ (cid:2) 3. We base our arguments on a generalization of Darbo’s fi xed point theorem combined with the approaches related with mea- sures of noncompactness in Banach algebras. To demonstrate the argument, an illustration is provided.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115598558","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: 11
Global convergence of rank-one PGD approximations by alternate minimization 秩一PGD逼近的交替极小化全局收敛性
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-32
A. E. Hamidi, Chakib Chahbi
{"title":"Global convergence of rank-one PGD approximations by alternate minimization","authors":"A. E. Hamidi, Chakib Chahbi","doi":"10.7153/dea-2022-14-32","DOIUrl":"https://doi.org/10.7153/dea-2022-14-32","url":null,"abstract":". Low-rank tensor approximations of solutions to high dimensional partial differential problems have shown their great relevance among the most used numerical methods in recent years, both in terms of accuracy and time computation. The central point of these methods is the computation of an optimal low-rank tensor to enrich, in a progressive way, the obtained tensorial approximation. For minimization problems, this point can be performed through the classical alternate minimization method. However, the transition to the tensorial framework breaks the linearity and convexity of the considered problems and their associated functionals, which impacts the convergence of the alternate minimization sequences. In the literature, only local convergence results and global convergence results, under some restrictive hypotheses, are available.Inthe following work, we give an unconditional convergence result of the alternate mini- mization scheme to compute the optimal low-rank tensor, for multi-dimensional variational linear elliptic equations. Also, we provide an adequate choice of the initialization as well as a relevant stopping criterion in the alternating minimization process.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115630562","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
Existence result for a problem involving ψ-Riemann-Liouville fractional derivative on unbounded domain 无界区域上涉及到ψ-Riemann-Liouville分数阶导数问题的存在性结果
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-06
Kheireddine Benia, M. Beddani, Michal Feckan, B. Hedia
{"title":"Existence result for a problem involving ψ-Riemann-Liouville fractional derivative on unbounded domain","authors":"Kheireddine Benia, M. Beddani, Michal Feckan, B. Hedia","doi":"10.7153/dea-2022-14-06","DOIUrl":"https://doi.org/10.7153/dea-2022-14-06","url":null,"abstract":". This paper deals with the the existence of solution sets and its topological structure for a fractional differential equation with ψ -Riemann-Liouville fractional derivative on ( 0 , ∞ ) in a special Banach space. Our approach is based on a fi xed point theorem for Meir-Keeler condensing operators combined with measure of non-compactness. An example is given to illustrate our approach.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123858596","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
Comparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral term 中性项中有混合偏离参数的三阶泛函微分方程振荡的比较定理
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-02
O. Özdemir, Şehri Kaya
{"title":"Comparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral term","authors":"O. Özdemir, Şehri Kaya","doi":"10.7153/dea-2022-14-02","DOIUrl":"https://doi.org/10.7153/dea-2022-14-02","url":null,"abstract":". This study purposes to present some new comparison theorems that guarantee the oscillation of all solutions of third-order functional differential equations with mixed neutral term i.e., the neutral term contains both retarded and advanced arguments. The obtained results are based on comparisons with associated fi rst-order delay differential inequalities and fi rst-order delay differential equations, and they are applicable to both cases where the neutral coef fi cients of differential equation are unbounded and/or bounded. Illustrative examples are also provided to validate the main results.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128884482","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
Oscillation criteria for odd-order neutral differential equations with distributed deviating arguments 具有分布偏离参数的奇阶中立型微分方程的振动准则
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2023-15-09
E. Tunç, Mine Sarıgül
{"title":"Oscillation criteria for odd-order neutral differential equations with distributed deviating arguments","authors":"E. Tunç, Mine Sarıgül","doi":"10.7153/dea-2023-15-09","DOIUrl":"https://doi.org/10.7153/dea-2023-15-09","url":null,"abstract":"","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130320357","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
Random neutral semilinear differential equations with delay 随机中立型时滞半线性微分方程
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-25
O. K. Bellaoui, A. Baliki, A. Ouahab
{"title":"Random neutral semilinear differential equations with delay","authors":"O. K. Bellaoui, A. Baliki, A. Ouahab","doi":"10.7153/dea-2022-14-25","DOIUrl":"https://doi.org/10.7153/dea-2022-14-25","url":null,"abstract":". In this paper, we present the existence and uniqueness of a random mild solution of a system of neutral semilinear random differential equations with delay. Also the Lipschitz regularity of the solution is presented. The results are based on random versions of Perov’s fi xed point theorem. Finally, some examples are given to illustrate our main result.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121358826","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
Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations 二维非线性Volterra泛函积分方程存在结果Petryshyn不动点定理的应用
Differential Equations &amp; Applications Pub Date : 1900-01-01 DOI: 10.7153/dea-2022-14-33
Satish Kumar, H. Singh, Beenu Singh, Vinay Arora
{"title":"Application of Petryshyn's fixed point theorem of existence result for non-linear 2D Volterra functional integral equations","authors":"Satish Kumar, H. Singh, Beenu Singh, Vinay Arora","doi":"10.7153/dea-2022-14-33","DOIUrl":"https://doi.org/10.7153/dea-2022-14-33","url":null,"abstract":". In this paper, the existence of result for 2DFIEs (Two Dimensional Functional integral equations) is considered. The main techniques in this discussion are Petryshyn’s fi xed point theorem with an MNC(Measure of non-compactness), which carries special cases a lot of FIEs. Finally, we recall some distinct cases and examples to prove the applicability of our study.","PeriodicalId":179999,"journal":{"name":"Differential Equations &amp; Applications","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126074988","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
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