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Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory

dc.contributor.authorAl Qurashi, Maysaa
dc.contributor.authorRashid, Saima
dc.contributor.authorSultana, Sobia
dc.contributor.authorJarad, Fahd
dc.contributor.authorAlsharif, Abdullah M.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-03-28T12:18:34Z
dc.date.available2024-03-28T12:18:34Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this research, the ¯q-homotopy analysis transform method (¯q-HATM) is employed to identify fractional-order Whitham–Broer–Kaup equation (WBKE) solutions. The WBKE is extensively employed to examine tsunami waves. With the aid of Caputo and Atangana-Baleanu fractional derivative operators, to obtain the analytical findings of WBKE, the predicted algorithm employs a combination of ¯q-HAM and the Aboodh transform. The fractional operators are applied in this work to show how important they are in generalizing the frameworks connected with kernels of singularity and non-singularity. To demonstrate the applicability of the suggested methodology, various relevant problems are solved. Graphical and tabular results are used to display and assess the findings of the suggested approach. In addition, the findings of our recommended approach were analyzed in relation to existing methods. The projected approach has fewer processing requirements and a better accuracy rate. Ultimately, the obtained results reveal that the improved strategy is both trustworthy and meticulous when it comes to assessing the influence of nonlinear systems of both integer and fractional order.en_US
dc.identifier.citationAl Qurashi, Maysaa;...et.al. (2022). "Fractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memory", AIMS Mathematics, Vol.7, No.7, pp. 12587-12619.en_US
dc.identifier.doi10.3934/math.2022697
dc.identifier.endpage12619en_US
dc.identifier.issn24736988
dc.identifier.issue7en_US
dc.identifier.startpage12587en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7793
dc.identifier.volume7en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAboodh Transformen_US
dc.subjectAtangana-Baleanu Fractional Derivativeen_US
dc.subjectConvergence Analysisen_US
dc.subjectWhitham–Broer–Kaup Equationen_US
dc.subjectQ-Homotopy Analysis Transform Methoden_US
dc.titleFractional-order partial differential equations describing propagation of shallow water waves depending on power and Mittag-Leffler memorytr_TR
dc.titleFractional-Order Partial Differential Equations Describing Propagation of Shallow Water Waves Depending on Power and Mittag-Leffler Memoryen_US
dc.typeArticleen_US
dspace.entity.typePublication

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