发布求助
文献互助 智能选刊 最新文献

Fractional Differential Calculus最新文献

筛选
英文 中文
An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems 一类分数边值问题的格林函数的排序和lyapunov型不等式
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/FDC-2019-09-08
J. Jonnalagadda
{"title":"An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems","authors":"J. Jonnalagadda","doi":"10.7153/FDC-2019-09-08","DOIUrl":"https://doi.org/10.7153/FDC-2019-09-08","url":null,"abstract":"In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition. We construct the corresponding Green’s function and deduce its ordering property. Then, we obtain a Lyapunov-type inequality using the properties of the Green’s function, and illustrate a few of its applications. Mathematics subject classification (2010): 34A08, 39A10, 39A12, 34B15.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"125 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114504836","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
Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives 用k阶Caputo导数对Hermite-Hadamard不等式的一些改进
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-13
Y. Gasimov, J. N. Nápoles Valdés
{"title":"Some refinements of Hermite-Hadamard inequality using k-fractional Caputo derivatives","authors":"Y. Gasimov, J. N. Nápoles Valdés","doi":"10.7153/fdc-2022-12-13","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-13","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126691052","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
On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces 自反Banach空间中分数阶加权Cauchy型问题的弱解$u∈C_1-α(I,E
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/FDC-2019-09-04
A. El-Sayed, S. A. A. El-Salam
{"title":"On the weak solution $u ∈ C_1-α(I,E) of a fractional-order weighted Cauchy type problem in reflexive Banach spaces","authors":"A. El-Sayed, S. A. A. El-Salam","doi":"10.7153/FDC-2019-09-04","DOIUrl":"https://doi.org/10.7153/FDC-2019-09-04","url":null,"abstract":"In this paper, we study the existence of a weak solution u ∈C1−α (I,E) of the nonlinear weighted Cauchy type problem of fractional-order.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121891915","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
Solvability for iterative systems of Hadamard fractional boundary value problems Hadamard分数阶边值问题迭代系统的可解性
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2023-13-06
B. M. B. Krushna, V. Raju, K. R. Prasad, M. Srinivas
{"title":"Solvability for iterative systems of Hadamard fractional boundary value problems","authors":"B. M. B. Krushna, V. Raju, K. R. Prasad, M. Srinivas","doi":"10.7153/fdc-2023-13-06","DOIUrl":"https://doi.org/10.7153/fdc-2023-13-06","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133842868","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 results for non-instantaneous impulsive fractional functional differential equation with infinite delay 无穷时滞非瞬时脉冲分数阶泛函微分方程的存在性结果
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2021-11-03
J. Borah, S. Bora
{"title":"Existence results for non-instantaneous impulsive fractional functional differential equation with infinite delay","authors":"J. Borah, S. Bora","doi":"10.7153/fdc-2021-11-03","DOIUrl":"https://doi.org/10.7153/fdc-2021-11-03","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134338924","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
Mean value Theorems associated to the differences of Opial-type inequalities and their fractional versions 与opial型不等式及其分数形式的差异有关的中值定理
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-13
A. Rehman, G. Farid, Y. Mehboob
{"title":"Mean value Theorems associated to the differences of Opial-type inequalities and their fractional versions","authors":"A. Rehman, G. Farid, Y. Mehboob","doi":"10.7153/fdc-2020-10-13","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-13","url":null,"abstract":"In this paper we analyze the error estimations of Opial-type inequalities for convex functions. The error bounds of these inequalities are studied by using mean value theorems for generalized kernels. Further applications of these results are obtained in fractional calculus by letting appropriate kernels. Mathematics subject classification (2010): 26A51, 26A33, 33E12.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132038096","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
Quasi-boundary method for a fractional ill-posed problem 一类分数阶不适定问题的拟边界法
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-03
C. Joseph, M. Moutamal
{"title":"Quasi-boundary method for a fractional ill-posed problem","authors":"C. Joseph, M. Moutamal","doi":"10.7153/fdc-2022-12-03","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-03","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128082670","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 of mild solutions for semilinear evolution equation using Hilfer fractional derivatives 半线性演化方程Hilfer分数阶导数温和解的存在性
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-01
Bandita Roy, S. Bora
{"title":"Existence of mild solutions for semilinear evolution equation using Hilfer fractional derivatives","authors":"Bandita Roy, S. Bora","doi":"10.7153/fdc-2022-12-01","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-01","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132925818","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
Generalized Fractional Ostrowski type inequalities via ɸ - λ -convex function 基于h - λ -凸函数的广义分数Ostrowski型不等式
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2021-11-15
Ali S. M. Hassan, Asif R Khan
{"title":"Generalized Fractional Ostrowski type inequalities via ɸ - λ -convex function","authors":"Ali S. M. Hassan, Asif R Khan","doi":"10.7153/fdc-2021-11-15","DOIUrl":"https://doi.org/10.7153/fdc-2021-11-15","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133182043","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 the approximate controllability for fractional neutral inclusion systems with nonlocal conditions 非局部条件下分数中性包涵系统的近似可控性
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2023-13-03
Mohammed Elghandouri, K. Ezzinbi
{"title":"On the approximate controllability for fractional neutral inclusion systems with nonlocal conditions","authors":"Mohammed Elghandouri, K. Ezzinbi","doi":"10.7153/fdc-2023-13-03","DOIUrl":"https://doi.org/10.7153/fdc-2023-13-03","url":null,"abstract":". The aim of this work is to study the approximate controllability for some fractional neutral inclusion system with nonlocal conditions. We establish a new variation of constant formula that helps us to formulate the problem of the approximate controllability. We assume that the linear system without the input functions is approximately controllable, then we prove with the lack of compactness, the approximate controllability for the whole nonlinear system. For illustrative purposes, we provide an application to the heat equation with memory.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124409756","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信