Analytic solution method for fractional fuzzy conformable Laplace transforms

Recently, a new fuzzy fractional derivative called the fuzzy generalized conformable fractional derivative is given which is based on the basic limit definition of the derivative in Harir et al. (Adv Fuzzy Syst Article ID 1954975, 7 (2019), https://doi.org/10.1155/2020/1954975). In this paper, we st...

Full description

Saved in:
Bibliographic Details
Published inSeMA journal Vol. 78; no. 3; pp. 401 - 414
Main Authors Harir, A., Melliani, S., Chadli, L. S.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2021
Springer Nature B.V
Subjects
Applications of Mathematics
Differential equations
Exact solutions
Laplace transforms
Mathematics
Mathematics and Statistics
34A07
Fuzzy fractional differential
44A10
Fuzzy conformable Laplace transform
26A33
Fuzzy valued function
Generalized conformable derivatives
Online AccessGet full text

Cover

More Information
Summary:Recently, a new fuzzy fractional derivative called the fuzzy generalized conformable fractional derivative is given which is based on the basic limit definition of the derivative in Harir et al. (Adv Fuzzy Syst Article ID 1954975, 7 (2019), https://doi.org/10.1155/2020/1954975). In this paper, we study a fuzzy conformable Laplace transform and under the generalized conformable fractional derivatives concept, we use it in an analytic solution method for some fuzzy fractional differential equations. The related theorems and properties are proved in detail and the method is illustrated by solving an example.
ISSN:2254-3902
2281-7875
DOI:10.1007/s40324-021-00240-7