Approximate Solution of Fuzzy Caputo's-Katugampola differential equation with order  0<Beta<1

In this paper that some of fuzzy second order Caputo's- Katugampola fractional which included also the first order Caputo's- Katugmpola fractional have been presented with analytic interesting result to explain the solution in fuzzy real numbers and distinguish space included the type of functions which suitable to the problem formulations which are under studied. all the fuzzy results are supported the numerical solutions that which used later on. The interesting illustrative examples for application some classes of fuzzy Caputo- Katugampla fractional order differential equations with and explained their systems (n, m) where n, m=1,2, moreover the tables of different parameters and different fractional orders have been given in details and different values of fuzzy parameter. All tables are represented by figures that given in first time. Coupled figures for each table refer to lower and upper of fuzzy solution. The algorithm of reproducing kernel Hilbert space are used with their steps and Gram-Schmidt orthogonalization process to obtain the approximate solution.