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Fractional Differential Calculus最新文献

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On some coupled systems of fractional differential inclusions 分数阶微分内含物的若干耦合系统
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2021-11-09
A. Cernea
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引用次数: 3
A uniqueness criterion for nontrivial solutions of the nonlinear higher-order ∇-difference systems of fractional-order 分数阶非线性高阶∇-差分系统非平凡解的唯一性判据
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2021-11-06
Yousef Gholami
{"title":"A uniqueness criterion for nontrivial solutions of the nonlinear higher-order ∇-difference systems of fractional-order","authors":"Yousef Gholami","doi":"10.7153/fdc-2021-11-06","DOIUrl":"https://doi.org/10.7153/fdc-2021-11-06","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"29 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":"114986824","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
Weak solutions for Caputo-Pettis fractional q-difference inclusions Caputo-Pettis分数q差包体的弱解
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-09
S. Abbas, B. Ahmad, M. Benchohra, S. Ntouyas
{"title":"Weak solutions for Caputo-Pettis fractional q-difference inclusions","authors":"S. Abbas, B. Ahmad, M. Benchohra, S. Ntouyas","doi":"10.7153/fdc-2020-10-09","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-09","url":null,"abstract":". This article deals with some existence of weak solutions for a class of Caputo frac- tional q -difference inclusions and a coupled system of Caputo fractional q -difference inclusions by using the set-valued analysis, and M¨onch’s fi xed point theorem associated with the technique of measure of weak noncompactness. Two illustrative examples are given in the end.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"162 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":"123030593","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
Estimates involving the ω-Riemann-Liouville fractional integral operators by means of η-quasiconvexity with applications to means 利用η-拟凸性估计ω-Riemann-Liouville分数积分算子，并应用于均值
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-03
E. Nwaeze
{"title":"Estimates involving the ω-Riemann-Liouville fractional integral operators by means of η-quasiconvexity with applications to means","authors":"E. Nwaeze","doi":"10.7153/fdc-2020-10-03","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-03","url":null,"abstract":". Since not every quasiconvex function is convex, it is our purpose in this present paper to extend some already established inequalities of the Hermite–Hadamard–Fej´er type and its companions for convex functions to the class of η -quasiconvex functions. The new results obtained herein are in terms of the ω -Riemann–Liouville fractional integral operators and they reduce to inequalities for quasiconvex functions for a particular choice of the bifunction η . In addition, we apply some of our results to certain special means of positive real numbers to obtain more estimates in this regard.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"46 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":"116123161","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
μ-pseudo almost automorphic mild solutions for two terms order fractional differential equations 两项阶分数阶微分方程的μ-伪几乎自同构温和解
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-06
Moumini Kéré, Gaston M. 'Guerekata
{"title":"μ-pseudo almost automorphic mild solutions for two terms order fractional differential equations","authors":"Moumini Kéré, Gaston M. 'Guerekata","doi":"10.7153/fdc-2020-10-06","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-06","url":null,"abstract":". In this paper we study the existence and uniqueness of μ − pseudo almost automor- phic mild solutions for two term fractional order differential equations in a Banach space with μ − pseudo almost automorphic forcing terms. The fractional derivative is understood in the sense of Weyl. We use classical tools to obtain our results.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"33 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":"114917854","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
Grünwald-Letnikov fractional operators: from past to present 粗糙的<s:1> nwald- letnikov分数算子:从过去到现在
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2021-11-10
F. Atici, Samuel Chang, J. Jonnalagadda
{"title":"Grünwald-Letnikov fractional operators: from past to present","authors":"F. Atici, Samuel Chang, J. Jonnalagadda","doi":"10.7153/fdc-2021-11-10","DOIUrl":"https://doi.org/10.7153/fdc-2021-11-10","url":null,"abstract":"","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":"133145206","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: 8
Fractional calculus and families of generalized Legendre-Laguerre-Appell polynomials 分数阶微积分与广义legende - laguerre - appell多项式族
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-09
S. A. Wani, I. Mallah, J. Ganie
{"title":"Fractional calculus and families of generalized Legendre-Laguerre-Appell polynomials","authors":"S. A. Wani, I. Mallah, J. Ganie","doi":"10.7153/fdc-2022-12-09","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-09","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"121 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":"122624002","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
A new generalization of q-Hermite-Hadamard type integral inequalities for p, (p-s) and modified (p-s)-convex functions p， (p-s)和修正(p-s)-凸函数的q-Hermite-Hadamard型积分不等式的新推广
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2022-12-10
G. Gulshan, Rahil Hussain, H. Budak
{"title":"A new generalization of q-Hermite-Hadamard type integral inequalities for p, (p-s) and modified (p-s)-convex functions","authors":"G. Gulshan, Rahil Hussain, H. Budak","doi":"10.7153/fdc-2022-12-10","DOIUrl":"https://doi.org/10.7153/fdc-2022-12-10","url":null,"abstract":"","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"46 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":"127897593","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
Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions 二次可微函数的广义梯形不等式的摄动形式
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/FDC-2019-09-09
H. Budak, S. Noeiaghdam
{"title":"Some perturbed versions of the generalized trapezoid type inequalities for twice differentiable functions","authors":"H. Budak, S. Noeiaghdam","doi":"10.7153/FDC-2019-09-09","DOIUrl":"https://doi.org/10.7153/FDC-2019-09-09","url":null,"abstract":". In this study, we fi rst obtain an identity for twice differentiable functions. Then we es- tablish some new perturbed trapezoid type integral inequalities for functions whose fi rst derivatives either are of bounded variation or Lipschitzian. Moreover, some perturbed versions of trapezoid type inequalities for mapping whose second derivatives are bounded, of bounded variation or Lipschitzian, respectively.","PeriodicalId":135809,"journal":{"name":"Fractional Differential Calculus","volume":"329 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":"115974862","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 fractional mean value theorems associated with Hadamard fractional calculus and application 分数中值定理与阿达玛分数微积分的关系及其应用
Fractional Differential Calculus Pub Date : 1900-01-01 DOI: 10.7153/fdc-2020-10-14
Li Ma, Cheng Liu, R. Liu, Boheng Wang, Yixiang Zhu
{"title":"On fractional mean value theorems associated with Hadamard fractional calculus and application","authors":"Li Ma, Cheng Liu, R. Liu, Boheng Wang, Yixiang Zhu","doi":"10.7153/fdc-2020-10-14","DOIUrl":"https://doi.org/10.7153/fdc-2020-10-14","url":null,"abstract":". This paper is mainly to establish generalized mean value theorems involved with left and right Hadamard fractional calculus. In light of suitable absolutely continuous spaces and auxiliary scaling function, the novel Taylor type mean value theorem and Cauchy type mean value theorem are demonstrated in the functional space generated by logarithmic basis, respec-tively. Additionally, several indispensable examples are given to verify the effectiveness of our theoretical results.","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":"115579924","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
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