Progress in Fractional Differentiation & Applications
An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations
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.
Digital Object Identifier (DOI)
Alam Khan, Najeeb; Riaz, Fatima; and Abdul Razzaq, Oyoon
"An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations,"
Progress in Fractional Differentiation & Applications: Vol. 2:
1, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol2/iss1/5