Laplace decomposition for solving nonlinear system of fractional order partial differential equations
| dc.contributor.author | Khan, Hassan | |
| dc.contributor.author | Shah, Rasool | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Arif, Muhammad | |
| dc.date.accessioned | 2020-12-31T11:28:54Z | |
| dc.date.available | 2020-12-31T11:28:54Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In the present article a modified decomposition method is implemented to solve systems of partial differential equations of fractional-order derivatives. The derivatives of fractional-order are expressed in terms of Caputo operator. The validity of the proposed method is analyzed through illustrative examples. The solution graphs have shown a close contact between the exact and LADM solutions. It is observed that the solutions of fractional-order problems converge towards the solution of an integer-order problem, which confirmed the reliability of the suggested technique. Due to better accuracy and straightforward implementation, the extension of the present method can be made to solve other fractional-order problems. | en_US |
| dc.identifier.citation | Khan, Hassan...et al. (2020). "Laplace decomposition for solving nonlinear system of fractional order partial differential equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02839-y | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/4416 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Advances in Difference Equations | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.subject | Adomian Decomposition Method | en_US |
| dc.subject | Laplace Transformation | en_US |
| dc.subject | Fractional Systems of Partial Differential Equations | en_US |
| dc.title | Laplace decomposition for solving nonlinear system of fractional order partial differential equations | tr_TR |
| dc.title | Laplace Decomposition for Solving Nonlinear System of Fractional Order Partial Differential Equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.volume | 2020 | en_US |
| gdc.identifier.openalex | W3044135167 | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 35.0 | |
| gdc.oaire.influence | 4.979437E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Decomposition method (queueing theory) | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Biochemistry | |
| gdc.oaire.keywords | Gene | |
| gdc.oaire.keywords | Engineering | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Ecology | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Discrete mathematics | |
| gdc.oaire.keywords | Programming language | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Chemistry | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Caputo operator | |
| gdc.oaire.keywords | Fractional Order Control | |
| gdc.oaire.keywords | Operator (biology) | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Quantum mechanics | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | Fractional systems of partial differential equations | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Order (exchange) | |
| gdc.oaire.keywords | Analysis and Design of Fractional Order Control Systems | |
| gdc.oaire.keywords | Decomposition | |
| gdc.oaire.keywords | Laplace transformation | |
| gdc.oaire.keywords | Extension (predicate logic) | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Statistical and Nonlinear Physics | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Physics and Astronomy | |
| gdc.oaire.keywords | Control and Systems Engineering | |
| gdc.oaire.keywords | FOS: Biological sciences | |
| gdc.oaire.keywords | Nonlinear system | |
| gdc.oaire.keywords | Repressor | |
| gdc.oaire.keywords | Adomian decomposition method | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Integer (computer science) | |
| gdc.oaire.keywords | Transcription factor | |
| 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 systems of partial differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs | |
| gdc.oaire.popularity | 4.0123822E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 1.60189328 | |
| gdc.openalex.normalizedpercentile | 0.88 | |
| gdc.opencitations.count | 43 | |
| gdc.plumx.crossrefcites | 37 | |
| gdc.plumx.mendeley | 22 | |
| gdc.plumx.scopuscites | 59 | |
| gdc.publishedmonth | 7 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |