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On Abundant New Solutions of Two Fractional Complex Models

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Khater, Mostafa M. A.
dc.date.accessioned 2021-01-07T11:40:58Z
dc.date.accessioned 2025-09-18T13:28:07Z
dc.date.available 2021-01-07T11:40:58Z
dc.date.available 2025-09-18T13:28:07Z
dc.date.issued 2020
dc.description M. A. Khater, Mostafa/0000-0001-8466-168X en_US
dc.description.abstract We use an analytical scheme to construct distinct novel solutions of two well-known fractional complex models (the fractional Korteweg-de Vries equation (KdV) equation and the fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation). A new fractional definition is used to covert the fractional formula of these equations into integer-order ordinary differential equations. We obtain solitons, rational functions, the trigonometric functions, the hyperbolic functions, and many other explicit wave solutions. We illustrate physical explanations of these solutions by different types of sketches. en_US
dc.identifier.citation Khater, Mostafa M. A...at all 820209. "On abundant new solutions of two fractional complex models", Advances in Difference Equations, Vol. 2020, No. 1. en_US
dc.identifier.doi 10.1186/s13662-020-02705-x
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85085998798
dc.identifier.uri https://doi.org/10.1186/s13662-020-02705-x
dc.identifier.uri https://hdl.handle.net/20.500.12416/13151
dc.language.iso en en_US
dc.publisher Springer en_US
dc.relation.ispartof Advances in Difference Equations
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Fractional Korteweg-De Vries (Kdv) Equation en_US
dc.subject Fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (Zkbbm) Equation en_US
dc.subject Abr Fractional Operator en_US
dc.subject Modified Khater (Mk) Method en_US
dc.title On Abundant New Solutions of Two Fractional Complex Models en_US
dc.title On abundant new solutions of two fractional complex models tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id M. A. Khater, Mostafa/0000-0001-8466-168X
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid M. A. Khater, Mostafa/Aal-3097-2020
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gdc.coar.access open access
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Khater, Mostafa M. A.] Jiangsu Univ, Fac Sci, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China; [Khater, Mostafa M. A.] Obour Inst, Dept Math, Cairo 11828, Egypt; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, sDept Med Res, Taichung, Taiwan en_US
gdc.description.issue 1 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.volume 2020 en_US
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gdc.oaire.keywords Fractional Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZKBBM) equation
gdc.oaire.keywords Economics
gdc.oaire.keywords Periodic Wave Solutions
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Fractional Korteweg–de Vries (KdV) equation
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Discrete Solitons in Nonlinear Photonic Systems
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Order (exchange)
gdc.oaire.keywords Korteweg–de Vries equation
gdc.oaire.keywords Physics
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Rational function
gdc.oaire.keywords Pure mathematics
gdc.oaire.keywords ABR $\mathcal{ABR}$ fractional operator
gdc.oaire.keywords Statistical and Nonlinear Physics
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Modified Khater (mK) method
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Fractional Derivatives
gdc.oaire.keywords Physics and Astronomy
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Trigonometry
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Finance
gdc.oaire.keywords Rogue Waves in Nonlinear Systems
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords Soliton solutions
gdc.oaire.keywords \(\mathcal{ABR}\) fractional operator
gdc.oaire.keywords Fractional partial differential equations
gdc.oaire.keywords fractional Korteweg-de Vries (KdV) equation
gdc.oaire.keywords modified Khater (mK) method
gdc.oaire.keywords Rossby waves
gdc.oaire.keywords KdV equations (Korteweg-de Vries equations)
gdc.oaire.keywords fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation
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gdc.opencitations.count 23
gdc.plumx.crossrefcites 12
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gdc.publishedmonth 6
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gdc.virtual.author Baleanu, Dumitru
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