Reproducing kernel Hilbert space method for solving fractional differential equations

What is it about?

In this study, we wish to investigate the approximate solution of the following nonlinear fractional differential equations of Bratu-type using reproducing kernel Hilbert space method.

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Why is it important?

Many physical phenomena can be modelled by fractional equations, which have different applications in various areas of science and engineering such as thermal systems, turbulence, image processing, fluid flow, mechanics and viscoelastic. Recently, numerous papers have been concentrating on the development of analytical and numerical methods for functional equations of fractional order. Our numerical results show that the reproducing kernel Hilbert space method is effective and very simple.

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