On Solving Fractional Mobile/Immobile Equation
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Al Qurashi, Maysaa Mohamed | |
| dc.contributor.author | Pourbashash, Hossein | |
| dc.date.accessioned | 2019-12-19T13:51:22Z | |
| dc.date.accessioned | 2025-09-18T15:44:12Z | |
| dc.date.available | 2019-12-19T13:51:22Z | |
| dc.date.available | 2025-09-18T15:44:12Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | In this article, a numerical efficient method for fractional mobile/immobile equation is developed. The presented numerical technique is based on the compact finite difference method. The spatial and temporal derivatives are approximated based on two difference schemes of orders O(T2-alpha) and O(h(4)), respectively. The proposed method is unconditionally stable and the convergence is analyzed within Fourier analysis. Furthermore, the solvability of the compact finite difference approach is proved. The obtained results show the ability of the compact finite difference. | en_US |
| dc.identifier.citation | Pourbashash, Hossein; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed (2017). On solving fractional mobile/immobile equation, Advances in Mechanical Engineering, 9(1). | en_US |
| dc.identifier.doi | 10.1177/1687814016688616 | |
| dc.identifier.issn | 1687-8140 | |
| dc.identifier.issn | 1687-8132 | |
| dc.identifier.scopus | 2-s2.0-85013671436 | |
| dc.identifier.uri | https://doi.org/10.1177/1687814016688616 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14184 | |
| dc.language.iso | en | en_US |
| dc.publisher | Sage Publications Ltd | en_US |
| dc.relation.ispartof | Advances in Mechanical Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mobile/Immobile Equation | en_US |
| dc.subject | Time Fractional | en_US |
| dc.subject | Compact Finite Difference | en_US |
| dc.subject | Fourier Analysis | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Convergence | en_US |
| dc.subject | Solvability | en_US |
| dc.title | On Solving Fractional Mobile/Immobile Equation | en_US |
| dc.title | On solving fractional mobile/immobile equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Pourbashash, Hossein] Univ Garmsar, Dept Math, Garmsar 3581755796, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Al Qurashi, Maysaa Mohamed] King Saud Univ, Dept Math, Riyadh, Saudi Arabia | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 9 | en_US |
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| gdc.oaire.keywords | Finite difference | |
| gdc.oaire.keywords | Finite element method | |
| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Compact finite difference | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | TJ1-1570 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Mechanical engineering and machinery | |
| gdc.oaire.keywords | Functional Differential Equations | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Economic growth | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
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| gdc.oaire.keywords | Finite difference coefficient | |
| gdc.oaire.keywords | Fractional calculus | |
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| gdc.oaire.keywords | Finite difference method | |
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| gdc.oaire.keywords | Fourier analysis | |
| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Convergence (economics) | |
| gdc.oaire.keywords | Fourier transform | |
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