New Interpolation Spaces and Strict Holder Regularity for Fractional Abstract Cauchy Problem
| dc.contributor.author | Dubey, Shruti | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alam, Md Mansur | |
| dc.date.accessioned | 2022-07-07T11:45:52Z | |
| dc.date.accessioned | 2025-09-18T13:27:44Z | |
| dc.date.available | 2022-07-07T11:45:52Z | |
| dc.date.available | 2025-09-18T13:27:44Z | |
| dc.date.issued | 2021 | |
| dc.description | Alam, Md Mansur/0000-0002-4583-7774 | en_US |
| dc.description.abstract | We know that interpolation spaces in terms of analytic semigroup have a significant role into the study of strict Holder regularity of solutions of classical abstract Cauchy problem (ACP). In this paper, we first construct interpolation spaces in terms of solution operators in fractional calculus and characterize these spaces. Then we establish strict Holder regularity of mild solutions of fractional order ACP. | en_US |
| dc.description.sponsorship | Science and Engineering Research Board, New Delhi, India [MTR/2019/000437]; Ministry of Human Resource Development (MHRD), GOI | en_US |
| dc.description.sponsorship | Science and Engineering Research Board, New Delhi, India for providing support through funded project File no. MTR/2019/000437. Ministry of Human Resource Development (MHRD), GOI for extending the support of assistantship. | en_US |
| dc.identifier.citation | Alam, Md Mansur; Dubey, Shruti; Baleanu, Dumitru (2021). "New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem", Boundary Value Problems, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13661-021-01559-w | |
| dc.identifier.issn | 1687-2770 | |
| dc.identifier.scopus | 2-s2.0-85115699748 | |
| dc.identifier.uri | https://doi.org/10.1186/s13661-021-01559-w | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13041 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Boundary Value Problems | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Interpolation Space | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Holder Continuity | en_US |
| dc.subject | Strict Solution | en_US |
| dc.subject | Solution Operator | en_US |
| dc.title | New Interpolation Spaces and Strict Holder Regularity for Fractional Abstract Cauchy Problem | en_US |
| dc.title | New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Alam, Md Mansur/0000-0002-4583-7774 | |
| gdc.author.scopusid | 57219508017 | |
| gdc.author.scopusid | 34970982000 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Alam, Md/Kzu-4396-2024 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Alam, Md Mansur; Dubey, Shruti] IIT Madras, Dept Math, Chennai, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 2021 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3203273075 | |
| gdc.identifier.wos | WOS:000699949700001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 5.0 | |
| gdc.oaire.influence | 2.7842797E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Artificial intelligence | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Semigroup | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Biochemistry | |
| gdc.oaire.keywords | Gene | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Analytic semigroup | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Cauchy distribution | |
| gdc.oaire.keywords | Strict solution | |
| gdc.oaire.keywords | Interpolation space | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Order (exchange) | |
| gdc.oaire.keywords | Cauchy problem | |
| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | Functional analysis | |
| gdc.oaire.keywords | Hölder continuity | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Motion (physics) | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Pure mathematics | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Nonlocal Partial Differential Equations and Boundary Value Problems | |
| gdc.oaire.keywords | Chemistry | |
| gdc.oaire.keywords | Initial value problem | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Interpolation (computer graphics) | |
| gdc.oaire.keywords | Solution operator | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Finance | |
| gdc.oaire.keywords | interpolation space | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | solution operator | |
| gdc.oaire.keywords | Interpolation between normed linear spaces | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | strict solution | |
| gdc.oaire.keywords | Linear differential equations in abstract spaces | |
| gdc.oaire.popularity | 6.078845E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 1.80800636 | |
| gdc.openalex.normalizedpercentile | 0.86 | |
| gdc.opencitations.count | 6 | |
| gdc.plumx.mendeley | 1 | |
| gdc.plumx.scopuscites | 9 | |
| gdc.publishedmonth | 12 | |
| gdc.scopus.citedcount | 9 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 7 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |