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An Operator Method for Finding the Solution of Linear Fractional Order Fuzzy Differential Equations |
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PP: 41-54 |
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doi:10.18576/pfda/020105
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Author(s) |
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Najeeb Alam Khan,
Fatima Riaz,
Oyoon Abdul Razzaq,
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Abstract |
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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. |
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