A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations
Copyright policy )A modified reproducing Kernel Hilbert space method for solving fuzzy fractional integro-differential equations
The aim of this paper is to extend the application of the reproducing kernel Hilbert space method (RKHSM) to solve linear and non-linear fuzzy integro-differential equations of fractional order under Caputo's H-differentiability. The analytic and approximate solutions are given in series form in term of their parametric form in the space $W_2^2 [a,b] \bigoplus W_2^2 [a,b]$. Several examples are carried out to show the effectiveness and the absence of complexity of the proposed method
- University of Jordan Jordan
- Princess Sumaya University for Technology Jordan
- Al-Balqa` Applied University Jordan
- University of Science and Technology Yemen
- Ajman University of Science and Technology United Arab Emirates
Statistics and Probability, Artificial intelligence, Support vector machine, Fuzzy ordinary differential equations, Fractional Differential Equations, Fuzzy Differential Equations and Uncertainty Modeling, Fractional ordinary differential equations, Numerical methods for integral equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Caputo's H-differentiability, Integro-ordinary differential equations, Differential equation, Differentiable function, QA1-939, FOS: Mathematics, Series (stratigraphy), Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, Representer theorem, Applied Mathematics, Hilbert space, Fractional calculus, Pure mathematics, Paleontology, fuzzy fractional integro-differential equation, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Fractional Derivatives, Operating system, Kernel method, Kernel embedding of distributions, Modeling and Simulation, Reproducing kernel Hilbert space, Physical Sciences, Kernel (algebra), Fractional Calculus, reproducing kernel Hilbert space method, Mathematics
Statistics and Probability, Artificial intelligence, Support vector machine, Fuzzy ordinary differential equations, Fractional Differential Equations, Fuzzy Differential Equations and Uncertainty Modeling, Fractional ordinary differential equations, Numerical methods for integral equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Caputo's H-differentiability, Integro-ordinary differential equations, Differential equation, Differentiable function, QA1-939, FOS: Mathematics, Series (stratigraphy), Functional Differential Equations, Biology, Anomalous Diffusion Modeling and Analysis, Representer theorem, Applied Mathematics, Hilbert space, Fractional calculus, Pure mathematics, Paleontology, fuzzy fractional integro-differential equation, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Fractional Derivatives, Operating system, Kernel method, Kernel embedding of distributions, Modeling and Simulation, Reproducing kernel Hilbert space, Physical Sciences, Kernel (algebra), Fractional Calculus, reproducing kernel Hilbert space method, Mathematics
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