The short answer to your question is the children with the kinds of problems that you have described can be served in a public school, but with appropriate accommodations. Have the children been tested and qualified for special education? If so, an IEP should have been developed to provide supports and intervention services to help them be successful. If not, they should be tested for special education.

A child with fine motor problems may qualify for special education with Dyspraxia: http://www.ncld.org/ld-basics/ld-aamp-language/ld-aamp-handwriting/dyspraxia. He would have access to a typing keyboard, like Alpha Smart http://www.neo-direct.com/intro.aspx and time with an occupational therapist.

A child with epilepsy can be qualified for special education under Other Health Impaired if their condition affect their academic performance. For more on this, please see: http://www.epilepsyfoundation.org/living/children/education/Education.cfm

Sincerely,

L. Compian, Ph.D.
Child Psychologist
Education.com