Existence of solutions to Sobolev type nonlocal nonlinear functional integrodifferential equations involving Caputo derivative
In this article the authors have discussed the existence, uniqueness and dependence on initial data of local solutions of nonlinear Sobolev type fractional functional integrodifferential equations in a Banach space along with a nonlocal condition. The results are established by using fixed point techniques and semigroup theory of operators. Further, conditions for the existence of global solution is obtained. A standard example is provided as an application of theoretical results.
scientific article; zbMATH DE number 7603315