A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations
Copyright policy )A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations
We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations. In this approach, the solution is obtained as a convergent series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method. The method described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.
- University of Jordan Jordan
- Princess Sumaya University for Technology Jordan
- King Abdulaziz University Saudi Arabia
Convergent series, Fractional Differential Equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, QA1-939, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Applied Mathematics, Physics, Hilbert space, Fractional calculus, Pure mathematics, Paleontology, Numerical methods for functional-differential equations, Power series, Applied mathematics, Computer science, Fractional Derivatives, Operating system, Modeling and Simulation, Reproducing kernel Hilbert space, Physical Sciences, Kernel (algebra), Nonlinear system, Fractional Calculus, Iterative Methods, Functional-differential equations with fractional derivatives, Mathematics
Convergent series, Fractional Differential Equations, Space (punctuation), Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, QA1-939, FOS: Mathematics, Series (stratigraphy), Biology, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Applied Mathematics, Physics, Hilbert space, Fractional calculus, Pure mathematics, Paleontology, Numerical methods for functional-differential equations, Power series, Applied mathematics, Computer science, Fractional Derivatives, Operating system, Modeling and Simulation, Reproducing kernel Hilbert space, Physical Sciences, Kernel (algebra), Nonlinear system, Fractional Calculus, Iterative Methods, Functional-differential equations with fractional derivatives, Mathematics
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