Stability via successive approximation for nonlinear implicit fractional differential equations

Kishor D. Kucche; Sagar T. Sutar

doi:10.1515/mjpaa-2017-0004

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Stability via successive approximation for nonlinear implicit fractional differential equations

Moroccan Journal of Pure and Applied Analysis

Volume 3 (2017): Issue 1 (June 2017)

By: Kishor D. Kucche and Sagar T. Sutar

Open Access

|Aug 2017

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 E_α-Ulam-Hyers stability results via successive approximation method.

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