<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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<sub>α</sub>-Ulam-Hyers stability results via successive approximation method. </p></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.

Stability via successive approximation for nonlinear implicit fractional differential equations

Moroccan Journal of Pure and Applied Analysis

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...

Stability via successive approximation for nonlinear implicit fractional differential equations

Pubblicato online: 01 ago 2017

Pagine: 36 - 54

Ricevuto: 08 giu 2016

Accettato: 24 nov 2016

DOI: https://doi.org/10.1515/mjpaa-2017-0004

Parole chiave
Implicit fractional differential equation, Modified version of contraction principle, Existence, Ulam-Hyers Stability, Successive approximations

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Stability via successive approximation for nonlinear implicit fractional differential equations

Pubblicato online: 01 ago 2017

Pagine: 36 - 54

Ricevuto: 08 giu 2016

Accettato: 24 nov 2016

DOI: https://doi.org/10.1515/mjpaa-2017-0004

Parole chiaveImplicit fractional differential equation, Modified version of contraction principle, Existence, Ulam-Hyers Stability, Successive approximations

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Parole chiave
Implicit fractional differential equation, Modified version of contraction principle, Existence, Ulam-Hyers Stability, Successive approximations