@article{ChaudharyDiethelmHashemishahraki, author = {Chaudhary, Renu and Diethelm, Kai and Hashemishahraki, Safoura}, title = {On the separation of solutions to fractional differential equations of order α ∈ (1, 2)}, series = {Applied Numerical Mathematics}, volume = {203}, journal = {Applied Numerical Mathematics}, doi = {10.1016/j.apnum.2024.05.020}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:863-opus-57338}, pages = {Article No. 38}, abstract = {Given a Caputo-type fractional differential equation with order between 1 and 2, we consider two distinct solutions to this equation subject to different sets of initial conditions. In this framework, we discuss nontrivial upper and lower bounds for the difference between these solutions. The main emphasis is on describing how such bounds are related to the differences of the associated initial values.}, language = {en} }