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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Alikhani, Robab, Alamdari, Maryam. (1402). Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations. سامانه مدیریت نشریات علمی, 11(3), 440-463. doi: 10.22034/cmde.2023.50144.2084
Robab Alikhani; Maryam Alamdari. "Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations". سامانه مدیریت نشریات علمی, 11, 3, 1402, 440-463. doi: 10.22034/cmde.2023.50144.2084
Alikhani, Robab, Alamdari, Maryam. (1402). 'Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations', سامانه مدیریت نشریات علمی, 11(3), pp. 440-463. doi: 10.22034/cmde.2023.50144.2084
Alikhani, Robab, Alamdari, Maryam. Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations. سامانه مدیریت نشریات علمی, 1402; 11(3): 440-463. doi: 10.22034/cmde.2023.50144.2084

Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations

Computational Methods for Differential Equations
مقاله 2، دوره 11، شماره 3، شهریور 2023، صفحه 440-463    اصل مقاله (446.58 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.50144.2084
نویسندگان
Robab Alikhani؛ Maryam Alamdari*
Department of Mathematics, University of Tabriz, Tabriz, Iran.
چکیده
We aim at presenting results including analytical solutions to linear fully fuzzy Caputo-Fabrizio fractional differential equations. In such linear equations, the coefficients are fuzzy numbers and, as a useful approach, the cross product has been considered as a multiplication between the fuzzy data. This approach plays an essential role in simplifying of computation of analytical solutions of linear fully fuzzy problems. The obtained results have been applied for deriving explicit solutions of linear Caputo-Fabrizio differential equations with fuzzy coefficients and of the corresponding initial value problems. Some of the topics which are needed for the results of this study from the point of view of the cross product of fuzzy numbers have been explained in detail. We illustrate our technique and compare the effect of uncertainty of the coefficients and initial value on the related solutions.
کلیدواژه‌ها
Caputo-Fabrizio operator؛ Cross product؛ Initial value problem؛ Linear fuzzy differential equations
مراجع
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