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Fractional Differential Calculus最新文献

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Existence and uniqueness results of impulsive fractional neutral pantograph integro differential equations with delay 具有时滞的脉冲分数中立型受电弓积分微分方程的存在唯一性结果
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-07
Ravi Ilavarasi, K. Malar
{"title":"Existence and uniqueness results of impulsive fractional neutral pantograph integro differential equations with delay","authors":"Ravi Ilavarasi, K. Malar","doi":"10.7153/fdc-2022-12-07","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-07","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"2 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":"122520892","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
Multiple solutions for fractional Hamiltonian systems locally defined near the origin 在原点附近局部定义的分数阶哈密顿系统的多重解
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-12
M. Timoumi
{"title":"Multiple solutions for fractional Hamiltonian systems locally defined near the origin","authors":"M. Timoumi","doi":"10.7153/fdc-2020-10-12","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-12","url":null,"abstract":". In this article, we are interested in the existence of in fi nitely many solutions for a class of fractional Hamiltonian systems where L ( t ) is neither uniformly positive de fi nite nor coercive, and W ( t , x ) is locally de fi ned and subquadratic or superquadratic near the origin with respect to x . The proof is based on variational methods and critical point theory.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"94 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":"132614796","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 some Hardy-type inequalities for generalized fractional integrals 广义分数阶积分的hardy型不等式
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2019-09-03
M. Samraiz, Shafqat Shahzadi, S. Iqbal, Z. Tomovski
{"title":"On some Hardy-type inequalities for generalized fractional integrals","authors":"M. Samraiz, Shafqat Shahzadi, S. Iqbal, Z. Tomovski","doi":"10.7153/fdc-2019-09-03","DOIUrl":"https://doi.org/10.7153/fdc-2019-09-03","url":null,"abstract":". In this article we establish the variant of Hardy-type and re fi ned Hardy-type inequal- ities for a generalized Riemann-Liouville fractional integral operator and Riemann-Liouville k -fractional integral operator using convex and monotone convex functions. We also discuss one dimensional cases of our related results. As special cases of our general results we obtain the consequences of Iqbal et al. [11]. We also obtained exponentially convex linear functionals for the generalized fractional integral operators. Moreover, it includes Cauchy means for the above mentioned operators. The fi rst de fi nition is presented in","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"13 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":"131591581","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 an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions 具有非局部积分和无穷点边界条件的任意(分数)阶积分-微分方程
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2019-09-15
H. El-Owaidy, A. El-Sayed, R. G. Ahmed
{"title":"On an integro-differential equation of arbitrary (fractional) orders with nonlocal integral and infinite-point boundary conditions","authors":"H. El-Owaidy, A. El-Sayed, R. G. Ahmed","doi":"10.7153/fdc-2019-09-15","DOIUrl":"https://doi.org/10.7153/fdc-2019-09-15","url":null,"abstract":". In this paper, we study the existence and uniqueness of solutions for an integro– differential equation of arbitrary (fractional) orders with nonlocal integral and in fi nite-point boundary conditions, continuous dependence of the solution on nonlocal data, on initial con- dition and on functional equation also will be study. An examples to prove main results.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"11 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":"115140878","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
Impulsive nabla fractional difference equations 脉冲纳布拉分数阶差分方程
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-08
J. Jonnalagadda
{"title":"Impulsive nabla fractional difference equations","authors":"J. Jonnalagadda","doi":"10.7153/fdc-2022-12-08","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-08","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":"127561476","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
Some inequalities for the generalized k-g-fractional integrals of convex functions 凸函数广义k-g分数积分的几个不等式
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/FDC-2019-09-12
S. Dragomir
{"title":"Some inequalities for the generalized k-g-fractional integrals of convex functions","authors":"S. Dragomir","doi":"10.7153/FDC-2019-09-12","DOIUrl":"https://doi.org/10.7153/FDC-2019-09-12","url":null,"abstract":". Let g be a strictly increasing function on ( a , b ) , having a continuous derivative g (cid:2) on ( a , b ) . For the Lebesgue integrable function f : ( a , b ) → C , we de fi ne the k-g-left-sided fractional integral of f by and the where the kernel k is de fi ned either on ( 0 , ∞ ) or on [ 0 , ∞ ) with complex values and integrable on any fi nite subinterval. In this paper we establish some trapezoid and Ostrowski type inequalities for the k - g fractional integrals of convex functions. Applications for Hermite-Hadamard type inequalities for generalized g -means and examples for Riemann-Liouville and exponential fractional integrals are also given. ∈ 0 , 1 ) the function k is de fi ned on , and : , . If de on , and K","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"55 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":"126627324","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
Series solution method for Cauchy problems with fractional Δ-derivative on time scales 时间尺度上分数阶Δ-derivative柯西问题的级数解法
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2019-09-16
S. Georgiev, I. Erhan
{"title":"Series solution method for Cauchy problems with fractional Δ-derivative on time scales","authors":"S. Georgiev, I. Erhan","doi":"10.7153/fdc-2019-09-16","DOIUrl":"https://doi.org/10.7153/fdc-2019-09-16","url":null,"abstract":". In this paper we introduce a series solution method for Cauchy problems associated with Caputo fractional delta derivatives on time scales with delta differentiable graininess function. We also apply the method to Cauchy problems associated with dynamic equations and present some illustrative examples.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"6 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":"126652001","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
Positive solutions for semipositone singular α-order (2< α <3) fractional BVPs on the half-line with D^β-derivative dependence 半正体奇异α-阶(2< α <3)分数BVPs在半线上的正解与D^β-导数相关
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-15
Abdelhamid Benmezaï
{"title":"Positive solutions for semipositone singular α-order (2< α <3) fractional BVPs on the half-line with D^β-derivative dependence","authors":"Abdelhamid Benmezaï","doi":"10.7153/fdc-2020-10-15","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-15","url":null,"abstract":". This article deals with existence of positive solutions to the fractional boundary value where α ∈ ( 2 , 3 ) , β ∈ ( 0 , α − 2 ] , D α is the standard Riemann-Liouville fractional derivative and the function f : ( 0 , + ∞ ) 3 → R is continuous semipositone and may exhibit singular at u = 0 and at D β u = 0 The main existence result is obtained by means of Guo-Krasnoselskii’s version of expansion and compression of a cone principal in a Banach space.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"92 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":"126203156","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 analysis of Black-Scholes equation for European call option involving a fractional order with generalized two dimensional differential transform method 用广义二维微分变换方法分析分数阶欧式看涨期权的Black-Scholes方程
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2021-11-11
F. S. Emmanuel, B. B. Teniola
{"title":"On the analysis of Black-Scholes equation for European call option involving a fractional order with generalized two dimensional differential transform method","authors":"F. S. Emmanuel, B. B. Teniola","doi":"10.7153/fdc-2021-11-11","DOIUrl":"https://doi.org/10.7153/fdc-2021-11-11","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"28 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":"125479793","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 weighted fractional Ostrowski type inequality with applications 广义加权分数Ostrowski型不等式及其应用
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-06
Nazia Irshad, Asif R Khan, Muhammad Awais Shaikh
{"title":"Generalized weighted fractional Ostrowski type inequality with applications","authors":"Nazia Irshad, Asif R Khan, Muhammad Awais Shaikh","doi":"10.7153/fdc-2022-12-06","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-06","url":null,"abstract":". We use Riemann-Liouville fractional integral to provide generalization of Weighted Ostrowski type inequality with bounded derivatives. Our results improved the inequalities of [14], and gave some applications.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"90 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":"124408563","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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