32 research outputs found
On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator
We consider the model of a Caputo -fractional boundary value
problem involving -Laplacian operator. By using the Banach contraction
mapping principle, we prove that, under some conditions, the suggested model
of the Caputo -fractional boundary value problem involving -Laplacian
operator has a unique solution for both cases of and . It is
interesting that in both cases solvability conditions obtained here depend on
, , and the order of the Caputo -fractional differential equation.
Finally, we illustrate our results with some examples