A nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient

In this paper, we study the existence, uniqueness and stability of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient. The results heavily depend on the Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. In the last, results are illustrated with suitable example.

کلیدواژه ها:

Fractional integro-differential equation ، Existence of solution ، Fixed point ، Pachpatte&#۰۳۹ ، s integral inequality ، Stability