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Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle

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Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle

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dc.contributor.author Tabassum, Rehana es_ES
dc.contributor.author Azam, Akbar es_ES
dc.contributor.author Mohammed, Shehu Shagari es_ES
dc.date.accessioned 2019-10-03T07:55:55Z
dc.date.available 2019-10-03T07:55:55Z
dc.date.issued 2019-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/127141
dc.description.abstract [EN] The purpose of this article is to extend the results derived through former articles with respect to the notion of weak contraction into intuitionistic fuzzy weak contraction in the context of (T,N,∝) -cut set of an intuitionistic fuzzy set. We intend to prove common fixed point theorem for a pair of intuitionistic fuzzy mappings satisfying weakly contractive condition in a complete metric space which generalizes many results existing in the literature. Moreover, concrete results on existence of the solution of a delay differential equation and a system of Riemann-Liouville Cauchy type problems have been derived. In addition, we also present illustrative examples to substantiate the usability of our main result. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Common fixed point es_ES
dc.subject Intuitionistic fuzzy set-valued maps es_ES
dc.subject (T ;N; ∝) -cut set es_ES
dc.subject Weakly contractive condition es_ES
dc.subject Delay differential equation es_ES
dc.subject Riemann-Liouville fractional differential equations es_ES
dc.title Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle es_ES
dc.type Artículo es_ES
dc.date.updated 2019-10-03T06:47:11Z
dc.identifier.doi 10.4995/agt.2019.11683
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Tabassum, R.; Azam, A.; Mohammed, SS. (2019). Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle. Applied General Topology. 20(2):449-469. https://doi.org/10.4995/agt.2019.11683 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2019.11683 es_ES
dc.description.upvformatpinicio 449 es_ES
dc.description.upvformatpfin 469 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 20
dc.description.issue 2
dc.identifier.eissn 1989-4147
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