Existence and uniqueness results of some fractional BVP

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dc.contributor.authorSeddiki, H.
dc.contributor.authorMazouzi, S.
dc.date.accessioned2024-07-12T20:56:00Z
dc.date.available2024-07-12T20:56:00Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractIn recent years the fractional derivatives have considerably received a great interest of a lot of investigators. As a matter of fact they have been successfully applied in several fields of science and engineering such as viscoelastic materials, electrotechnical processes as well as signal processing. Actually, the concept of fractional derivatives is a systematic generalization of the classical derivatives to non integral orders which gives reliable models in engineering and other fields of science better than those based on the ordinary derivatives. Our contribution in this matter is the investigation of the existence and uniqueness of the fractional boundary value problem, where cD? 0 is Caputo’s fractional derivative, f : [0, T] × R × R ? R is a continuous function, a1, a2, b1, b2, c1, and c2 are given real constants. By using the Banach fixed point theorem we establish the existence of a unique continuously differentiable solution to the above BVP.en_US
dc.identifier.citationSeddiki, H. ve Mazouzi, S. (2009). Existence and uniqueness results of some fractional BVP. Maltepe Üniversitesi. s. 185.en_US
dc.identifier.endpage186en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage185en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2922
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07646
dc.titleExistence and uniqueness results of some fractional BVPen_US
dc.typeConference Object
dspace.entity.typePublication

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