Stability via successive approximation for nonlinear implicit fractional differential equations
oraz | 01 sie 2017
O artykule
Data publikacji: 01 sie 2017
Zakres stron: 36 - 54
Otrzymano: 08 cze 2016
Przyjęty: 24 lis 2016
DOI: https://doi.org/10.1515/mjpaa-2017-0004
Słowa kluczowe
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.