In this article, we prove the existence of solutions of fractional integro-differential equations with infinite point conditions by using fractional calculus and fixed point theorems. Further continuous dependence on initial point, on nonlocal data, on the functional is also studied. Finally, the obtained results are verified with the help of some examples.
Keywords and Phrases
Functional-differential equations with fractional derivatives, Nonlinear differential equations in abstract spaces, Initial value problems, Fixed point theorems.
A.M.S. subject classiﬁcation
34K37, 34G60, 34A12, 47H10.