Progress in Fractional Differentiation & Applications
Article Title
An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations
Abstract
In this paper, analytical investigations of linear fractional order fuzzy differential equations are obtained using a newfound operator method. Fuzzy fractional differential equations (FFDEs) subjected to initial conditions are dissected under the assumptions of generalized Hukuhara differentiability in conjunction with Caputo-type fuzzy fractional derivative. Consequently, all the prospects of fractional differentials of fuzzy-valued functions are deduced and discussed in detail under the notion of Caputo-type fuzzy fractional differentiability (CFH-differentiability). Moreover, the novel method is illustrated on constructed systems of FFDEs and convex combination of r -level solutions for each system is measured, explicitly.
Suggested Reviewers
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Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/pfda/020105
Recommended Citation
Alam Khan, Najeeb; Riaz, Fatima; and Abdul Razzaq, Oyoon
(2016)
"An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations,"
Progress in Fractional Differentiation & Applications: Vol. 2:
Iss.
1, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/020105
Available at:
https://digitalcommons.aaru.edu.jo/pfda/vol2/iss1/5