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In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for a class of higher order Caputo fractional initial value problem. We transform the posed problem to a Volterra integral equation. Under Krasnoselskii-Krein type conditions and by using successive approximations, we discuss the existence and uniqueness questions.
How to Cite this Article:
Assia Guezane-Lakoud, Rabah Khaldi, Successive approximations to solve higher order fractional differential equations, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 29.