Notes on fuzzy fractional Sumudu transform
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Authors
Najeeb Alam Khan
- Department of Mathematics, University of Karachi, Karachi 75270, Pakistan
Oyoon Abdul Razzaq
- Department of Humanities and Natural Sciences, Bahria University, Karachi 75260, Pakistan
Muhammad Ayaz
- Department of Mathematics, University of Karachi, Karachi 75270, Pakistan
Abstract
In this paper, the analytical solutions of fuzzy fractional differential equations (FFDEs) are obtained by using the combination of fractional Sumudu transform (FST) and fuzzy calculus. In this regard, we extend the notation of FST to fuzzy fractional Sumudu transformation (FFST) and discuss its fundamental properties for the fuzzy-valued functions. Besides, a comprehensive study of FFST is also carried out for the different cases of Riemann-Liouville Hukuhara differentiability (H-differentiability) of fuzzy-valued functions. Moreover, to illustrate the capability and pertinence of this transform, solutions of some FFDEs are obtained, revealing its simplicity and efficiency.
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ISRP Style
Najeeb Alam Khan, Oyoon Abdul Razzaq, Muhammad Ayaz, Notes on fuzzy fractional Sumudu transform, Journal of Mathematics and Computer Science, 18 (2018), no. 1, 63--73
AMA Style
Khan Najeeb Alam, Razzaq Oyoon Abdul, Ayaz Muhammad, Notes on fuzzy fractional Sumudu transform. J Math Comput SCI-JM. (2018); 18(1):63--73
Chicago/Turabian Style
Khan, Najeeb Alam, Razzaq, Oyoon Abdul, Ayaz, Muhammad. "Notes on fuzzy fractional Sumudu transform." Journal of Mathematics and Computer Science, 18, no. 1 (2018): 63--73
Keywords
- Fuzzy function
- fractional differential equations
- Sumudu transform
- H-differentiability
MSC
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