TY - GEN
T1 - Numerical simulation Of Nonlocal Caputo-Fabrizio Fuzzy Fractional Volterra Integral Equation in Hilbert Space
AU - Harrouche, Nesrine
AU - Al-Smadi, Mohammed
AU - Djeddi, Nadir
AU - Momani, Shaher
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - In this paper, we use the reproducing kernel algorithm to find approximate solutions to fractional fuzzy Volterra integrodifferential equations in the framework of the Caputo-Fabrizio operator. In order to obtain the parametric characterizing of solutions, the Caputo-Fabrizio fuzzy fractional integral equation is transformed into an equivalent crisp system of Caputo-Fabrizio fractional integral equations. The process for finding analytical solutions, which take the form of uniformly convergent series in Hilbert space, is based on creating the orthogonal basis from newly created kernel functions. A numerical example is used to demonstrate the method's efficacy and validity.
AB - In this paper, we use the reproducing kernel algorithm to find approximate solutions to fractional fuzzy Volterra integrodifferential equations in the framework of the Caputo-Fabrizio operator. In order to obtain the parametric characterizing of solutions, the Caputo-Fabrizio fuzzy fractional integral equation is transformed into an equivalent crisp system of Caputo-Fabrizio fractional integral equations. The process for finding analytical solutions, which take the form of uniformly convergent series in Hilbert space, is based on creating the orthogonal basis from newly created kernel functions. A numerical example is used to demonstrate the method's efficacy and validity.
KW - Caputo-Fabrizio fractional derivative.
KW - Fuzzy Voltera integro-differential equations
KW - Reproducing kernel algorithm
UR - https://www.scopus.com/pages/publications/85164538568
U2 - 10.1109/ICFDA58234.2023.10153324
DO - 10.1109/ICFDA58234.2023.10153324
M3 - Conference contribution
AN - SCOPUS:85164538568
T3 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
BT - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2023 International Conference on Fractional Differentiation and Its Applications, ICFDA 2023
Y2 - 14 March 2023 through 16 March 2023
ER -