Sir, I am able to solve an initial value problem of fractional order differential equation in MATLAB using a solver, I would like to know how do I solve a boundary value problem, i.e. integrating backward using the same solver.
Thank you in advance.
Fractional differential equations can be presented with
differential operators of both Caputo and Riemann-Liouville. Here comes the first practical advantage of working with practical problems using the Caputo definition. When using the RiemannLiouville definition, it is necessary to know the fractional derivative of function as an initial or boundary condition, which is always very difficult. On the other hand, Caputo's allows only the value of the function itself, or the value of integer derivatives, which can be measured and easily interpreted.
It is not the purpose of this paper to show how the solution is
analysis of a fractional differential equation, which can be seen in (PODLUBNY, 1999). However, it is worth noting that a widely used technique is that of Laplace transform, already existing much development in the area. The Laplace transform of the Caputo fractional derivative is described in this article: https://proceedings.sbmac.org.br/sbmac/article/view/2315/2331
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