Ihab Hadi Jumhaa, Hussein Jabbar Mohammed, Adil K Bagheedh, Uday Jabbar Quaez, "A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space," Equations, vol. 5, pp. 1-9, 2025, DOI:10.37394/232021.2025.5.1
Ihab Hadi Jumhaa, Hussein Jabbar Mohammed, Adil K Bagheedh, Uday Jabbar Quaez. A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space.
Equations. 2025;5:1-9. 10.37394/232021.2025.5.1
EQUATIONS
Print ISSN: 2944-9146, E-ISSN: 2732-9976 An Open Access International Journal of Mathematical and Computational Methods in Science and Engineering
Volume 5, 2025
A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space
Authors: , , ,
Abstract: In this work, the generalized exponential spline methodt is studied to approximate the solution of fuzzy fractional integro differential equations under Caputo derivative. The existence and uniqueness theorems for these equations by considering the type of differentiability of solution are proved. The results shown that generalized exponential method is more accurate in terms of absolute error. Furthermore, the accuracy and efficiency of the proposed method are demonstrated is a series of numerical experiments.
Keywords:
Generalized exponential Spline, Fuzzy fractional integro-differential equation, Mittag-Leffler function, Caputo fractional derivative
Pages: 1-9 DOI: 10.37394/232021.2025.5.1WSEAS Transactions on Equations, ISSN / E-ISSN: 2944-9146 / 2732-9976, Volume 5, 2025, Art. #1
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