Abundant soliton solution for the time-fractional stochastic Gray-Scot model under the influence of noise and M-truncated derivative

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dc.authoridAli, Syed Mansoor/0000-0003-1416-640X
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAhmed, Nauman
dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorAli, Syed Mansoor
dc.contributor.authorAli, Mubasher
dc.contributor.authorAkgul, Ali
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:25:08Z
dc.date.available2024-12-24T19:25:08Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we investigate the abundant soliton solutions for the time-fractional stochastic Gray-Scot (TFSGS) model analytically. The Gray-Scot model is considered under the influence of M-truncated derivative and multiplicative time noise. This is a reaction-diffusion chemical concentration model that explains the irreversible chemical reaction process. The M-truncated derivative is applied for the fractional version while Brownian motion is taken in the sense of time noise. The novel mathematical technique is used to obtain the abundant families of soliton solutions. These solutions are explored in the form of shock, complicated solitary-shock, shock-singular, and periodic-singular types of single and combination wave structures. During the derivation, the rational solutions also appear. Moreover, we use MATHEMATICA 11.1 tools to plot our solutions and exhibit several three-dimensional, two-dimensional, and their corresponding contour graphs to show the fractional derivative and Brownian motion impact on the soliton solutions of the TFSGS model. We show that the TFDGS model solutions are stabilized at around zero by the multiplicative Brownian motion. These wave solutions represent the chemical concentrations of the reactants. The TFDGS model is considered to find the exact solitsary wave solutions under the random environment.The new MEDA method is used to obtain the different form of solutions.The different graphical behaviour are drawn to show the effects of noise and fractional derivatives.
dc.description.sponsorshipResearcher supporting program at King Saud University, Riyadh [RSPD2024R699]
dc.description.sponsorshipThe authors would like to extend their sincere appreciation to the Researcher supporting program at King Saud University, Riyadh, for funding this work under project number (RSPD2024R699).
dc.identifier.doi10.1007/s42452-024-05759-8
dc.identifier.issn3004-9261
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85195057112
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s42452-024-05759-8
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6284
dc.identifier.volume6
dc.identifier.wosWOS:001180640400003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofDiscover Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSoliton solutions
dc.subjectM-truncated derivative
dc.subjectStochastic Gray-Scot (TFSGS) model
dc.subjectNew MEDA technique
dc.titleAbundant soliton solution for the time-fractional stochastic Gray-Scot model under the influence of noise and M-truncated derivative
dc.typeArticle

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