Fundamental solutions of anomalous diffusion equations with the decay exponential kernel

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dc.contributor.authorYang, Xiao-Jun
dc.contributor.authorFeng, Yi-Ying
dc.contributor.authorCattani, Carlo
dc.contributor.authorİnç, Mustafa
dc.date.accessioned2026-08-12T17:49:51Z
dc.date.issued2019
dc.departmentFırat Üniversitesi
dc.description.abstractIn the letter, we consider the anomalous diffusion equations involving the general derivatives with the decay exponential kernel for the first time. With the use of the Laplace transform, the analytical solutions with graphs are discussed in detail. The results are accurate and efficient in the description of the behaviors of the anomalous diffusion problems.
dc.description.sponsorship333 Project of Jiangsu Province [BRA2018320]; State Key Research Development Program of the Peoples Republic of China [2016YFC0600705]; China University of Mining and Technology [102504180004]
dc.description.sponsorship333 Project of Jiangsu Province, Grant/Award Number: BRA2018320; State Key Research Development Program of the Peoples Republic of China, Grant/Award Number: 2016YFC0600705; Yue-Qi Scholar of the China University of Mining and Technology, Grant/Award Number: 102504180004
dc.identifier.doi10.1002/mma.5634
dc.identifier.endpage4060
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue11
dc.identifier.orcid0000-0003-4294-6980
dc.identifier.orcid0000-0003-4996-8373
dc.identifier.orcid0000-0002-7504-0424
dc.identifier.orcid0000-0003-0009-4599
dc.identifier.scopus2-s2.0-85064474285
dc.identifier.scopusqualityQ1
dc.identifier.startpage4054
dc.identifier.urihttps://doi.org/10.1002/mma.5634
dc.identifier.urihttps://hdl.handle.net/11508/61974
dc.identifier.volume42
dc.identifier.wosWOS:000471708800020
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectanalytical solution
dc.subjectanomalous diffusion equations
dc.subjectdecay exponential kernel
dc.subjectgeneral derivatives
dc.subjectLaplace transform
dc.titleFundamental solutions of anomalous diffusion equations with the decay exponential kernel
dc.typeArticle

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