Generalized Euler-Lagrange Equations for Fuzzy Fractional Variational Problems under gH-Atangana-Baleanu Differentiability
Keyword(s):
We study in this paper the Atangana-Baleanu fractional derivative of fuzzy functions based on the generalized Hukuhara difference. Under the condition of gH-Atangana-Baleanu fractional differentiability, we prove the generalized necessary and sufficient optimality conditions for problems of the fuzzy fractional calculus of variations with a Lagrange function. The new kernel of gH-Atangana-Baleanu fractional derivative has no singularity and no locality, which was not precisely illustrated in the previous definitions.
2011 ◽
Vol 14
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2002 ◽
Vol 272
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pp. 368-379
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2015 ◽
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pp. 39-50
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2020 ◽
Vol 14
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pp. 678-696
2011 ◽
Vol 62
(3)
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pp. 987-995
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