We transformed our problem to a system of algebraic equations so that by solving this system we obtained the solution of this kind of equation by considering the type of differentiability
. Finally, the solution obtained using the suggested method shows that this approach can solve the problem effectively.
Corollary 11 (infinite differentiability
of a particular weak solution).
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.
Algorithm 3: Process to estimate differentiability
. Input: A data set D, two clssification algorithms [A.sub.1] and [A.sub.2], [delta] as in (5), the number of trials t Output: A possible value of [gamma] as in (5) Steps: (1) s [left arrow]O (2) For i = 1 to t (3) Use bootstrap sampling to sample D and generate [T.sub.1] (4) Train [C.sub.j] by applying [A.sub.1] on [T.sub.1] (5) Train [C.sub.2] by applying [A.sub.2] on [T.sub.1] (6) Sample D and generate [T.sub.2] (7) Use [T.sub.2] to test [C.sub.1] and [C.sub.2] (8) If the disagreement rate [greater than or equal to] [delta] then (9) s [left arrow] s + 1 (10) End If (11) End For (12) Return s/t 3.2.
Nanda, "Convex fuzzy mapping with differentiability
and its application in fuzzy optimization," European Journal of Operational Research, vol.
of solutions of second-order functional differential equations with unbounded delay.
The next theorem shows the differentiability
of J([mu], [eta]).
The formula in Badel and Huggett (2015) relies on differentiability
assumptions together with the following assumption on the structure of the tax system (Assumption A2' from Badel and Huggett, 2015):
Tanabe: On differentiability
and analyticity of eighted elliptic boundary value problems, Osaka Math.Journal ,2 (1965),163-190.
This method has a good robust to solve problems that have nonlinear characteristics and non differentiability
, multiple optima, large dimensions through adaptation derived from the theory of social psychology.
Later tests used the chip to test urine populations from types of cancer and non-cancer patients, always revealing P<0.05 differentiability