Daghestan Electronic Mathematical Reports: Issue 8 (2017)
Two-point boundary value problem of a non-linear differential equation with fractional derivatives, having exponential growth by solution
Pages: 61 - 69
Sufficient conditions for the existence and uniqueness of the positive solution of a two-point boundary value problem for a differential equation with fractional derivatives of order
in the case when
has exponential growth with respect to. Moreover, a numerical method for constructing this solution is given and the dependence of the solution on order of differentiation on a special example.
In the equation the derivative is understood in the sense of Riemann-Liouville.
Two-point boundary value problem, fractional derivative, positive solution, numerical method.
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