Fractional variational iteration method for time-fractional non-linear functional partial differential equation having proportional delays
| dc.contributor.author | Dogan Durgun D. | |
| dc.contributor.author | Konuralp A. | |
| dc.date.accessioned | 2024-07-22T08:10:10Z | |
| dc.date.available | 2024-07-22T08:10:10Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this paper, time-fractional non-linear partial differential equation with proportional delays are solved by fractional variational iteration method taking into account modified Riemann-Liouville fractional derivative. The numerical solutions which are calculated by using this method are better than those obtained by homotopy perturbation method and differential transform method with same data set and approximation order. On the other hand, to improve the solutions obtained by fractional variational iteration method, residual error function is used. With this additional process, the resulting approximate solutions are getting closer to the exact solutions. The results obtained by taking into account different values of variables in the domain are supported by compared tables and graphics in detail. © 2018 Society of Thermal Engineers of Serbia. | |
| dc.identifier.DOI-ID | 10.2298/TSCI170612269D | |
| dc.identifier.issn | 03549836 | |
| dc.identifier.uri | http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15109 | |
| dc.language.iso | English | |
| dc.publisher | Serbian Society of Heat Transfer Engineers | |
| dc.rights | All Open Access; Bronze Open Access | |
| dc.subject | Iterative methods | |
| dc.subject | Numerical methods | |
| dc.subject | Perturbation techniques | |
| dc.subject | Fractional PDE | |
| dc.subject | Fractional variational iteration method | |
| dc.subject | Linear functional | |
| dc.subject | Modified Riemann-Liouville derivative | |
| dc.subject | Non linear | |
| dc.subject | Nonlinear partial differential equations | |
| dc.subject | Proportional delay | |
| dc.subject | Riemann-Liouville fractional derivatives | |
| dc.subject | Time-fractional pde | |
| dc.subject | Variational iteration method | |
| dc.subject | Partial differential equations | |
| dc.title | Fractional variational iteration method for time-fractional non-linear functional partial differential equation having proportional delays | |
| dc.type | Article |