Peer-Reviewed Article June 26, 2017
Stability via successive approximation for nonlinear implicit fractional differential equations
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Published in: Moroccan Journal of Pure and Applied Analysis
Publisher: Sidi Mohamed Ben Abdellah University • Morocco • 2351-8227 • 2605-6364
Abstract
Abstract In this paper we are concerned with nonlinear implicit fractional differential equations with initial conditions. We prove the existence and uniqueness results by using modified version of contraction principle. Further, our prime aim is to present various Ulam-Hyers stability and Eα-Ulam-Hyers stability results via successive approximation method.