Fractal and Fractional · 2019 · 42 citations · 16 references
Natural SciencesMathematicsComputational Fluid DynamicsComputational MechanicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsKernel MethodsNumerical AnalysisNumerical Methods For Differential EquationsBoundary Value Problem SolversFractional Differential EquationsReproducing Kernel Hilbert Spaces
In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind problems. The experiments are discussed and the approximate solutions are obtained to be more correct compared to the other obtained results in the literature.
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N. Aronszajn · Transactions of the American Mathematical Society · 1950 · 5.4K citations · Full text
Omar Abu Arqub · Computers & Mathematics with Applications · 2016 · 140 citations