On Generalized Local Fractal Calculus Associate With Gauge Integral and Applications
| dc.authorscopusid | 57217859518 | |
| dc.authorscopusid | 59720214100 | |
| dc.authorscopusid | 24485325700 | |
| dc.contributor.author | Kalita, Hemanta | |
| dc.contributor.author | Golmankhane, Aireza K. | |
| dc.contributor.author | Hazarika, Bipan | |
| dc.date.accessioned | 2025-05-10T16:56:06Z | |
| dc.date.available | 2025-05-10T16:56:06Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Kalita, Hemanta] VIT Bhopal Univ, Sch Adv Sci & Languages, Math Div, Indore Highway, Bhopal, Madhya Pradesh, India; [Golmankhane, Aireza K.] Islamic Azad Univ, Coll Sci, Dept Phys, Urmia Branch, Orumiyeh, Iran; [Golmankhane, Aireza K.] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, Van, Turkiye; [Hazarika, Bipan] Gauhati Univ, Dept Math, Gauhati, Assam, India | en_US |
| dc.description.abstract | In this work, a new integral so called *F alpha-integral with respect to local fractal derivatives are introduced. Several properties of *F alpha-integrals are discussed. Fundamental theorem for *F alpha-integrable functions is also introduced. A relationship ofF alpha and *F alpha integral is shown. Finally, as an application we solve fractal differential equation D alpha F[S alpha F (x)] = f[t, S alpha F (x)] with S alpha F(tau) = xi in sense of *F alpha-integral. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.2298/TSCI240719003K | |
| dc.identifier.endpage | 711 | en_US |
| dc.identifier.issn | 0354-9836 | |
| dc.identifier.issn | 2334-7163 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-105001642211 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 691 | en_US |
| dc.identifier.uri | https://doi.org/10.2298/TSCI240719003K | |
| dc.identifier.volume | 29 | en_US |
| dc.identifier.wos | WOS:001476283200022 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | en_US |
| dc.publisher | Vinca Inst Nuclear Sci | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractal Calculus | en_US |
| dc.subject | Fractal Differential Equation | en_US |
| dc.subject | Gauge Integral Ams (2010) | en_US |
| dc.title | On Generalized Local Fractal Calculus Associate With Gauge Integral and Applications | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |