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A novel fixed point iteration process applied in solving the Caputo type fractional differential equations in Banach spaces

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dc.contributor.authorOkeke, Godwin Amechi
dc.contributor.authorUgwuogor, Cyril Ifeanyichukwu
dc.contributor.authorAlqahtani, Rubayyi T.
dc.contributor.authorKaplan, Melike
dc.contributor.authorAhmed, W. Eltayeb
dc.date.accessioned2026-01-04T20:40:26Z
dc.date.issued2024-07-09
dc.description.abstractWe introduce the modified Picard–Ishikawa hybrid iterative scheme and establish some strong convergence results for the class of asymptotically generalized [Formula: see text]-pseudocontractive mappings in the intermediate sense in Banach spaces and approximate the fixed point of this class of mappings via the newly introduced iteration scheme. We construct some numerical examples to support our results. Furthermore, we apply the Picard–Ishikawa hybrid iteration scheme in solving the nonlinear Caputo type fractional differential equations. Our results generalize, extend and unify several existing results in literature.
dc.description.urihttps://doi.org/10.1142/s0129183124501766
dc.identifier.doi10.1142/s0129183124501766
dc.identifier.eissn1793-6586
dc.identifier.issn0129-1831
dc.identifier.openairedoi_________::479375480ecbed16eb98d20cb2d262ea
dc.identifier.orcid0000-0001-6544-6714
dc.identifier.orcid0009-0009-0801-6246
dc.identifier.orcid0009-0002-8724-6750
dc.identifier.orcid0000-0001-5700-9127
dc.identifier.orcid0000-0001-6837-0612
dc.identifier.scopus2-s2.0-85198664017
dc.identifier.urihttps://hdl.handle.net/20.500.12597/41958
dc.identifier.volume36
dc.identifier.wos001265288000001
dc.language.isoeng
dc.publisherWorld Scientific Pub Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics C
dc.titleA novel fixed point iteration process applied in solving the Caputo type fractional differential equations in Banach spaces
dc.typeArticle
dspace.entity.typePublication
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