The focus of this study is on boundary-value issues for Caputo-type fractional differential equations of order 1 < q < 2. To begin, we demonstrate the existence theorem of mild solutions under certain ...

SIAM Journal on Numerical Analysis, Vol. 43, No. 3 (2006), pp. 1348-1361 (14 pages) We show how interval arithmetic can be used in connection with Borsuk's theorem to computationally prove the ...