<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces. Based on the Banach contraction principle and Krasnoselskii fixed point theorem (FPT) joined with resolvent operators, we develop the main results. Ultimately, an representation is also offered to demonstrate the accomplished theorem.</p></abstract>

The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions (NLCs) in Banach spaces. Based on the Banach contraction principle and Krasnoselskii fixed point theorem (FPT) joined with resolvent operators, we develop the main results. Ultimately, an representation is also offered to demonstrate the accomplished theorem.

Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

Department of Mathematics and Computer Sciences, Faculty of Art and Sciences

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The manuscript is primarily concerned with the new existence results for fractional neutral integro-differential equation (FNIDE) with nonlocal conditions...

Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

Published Online: Mar 02, 2019

Page range: 107 - 124

Received: Feb 20, 2018

Accepted: Mar 30, 2018

DOI: https://doi.org/10.2478/auom-2019-0006

Keywords
Fractional calculus, integro-differential equations, nonlocal condition, resolvent operators, Banach and Krasnoselskii fixed point theorem

© 2019 D. Mallika et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Existence results for fractional neutral integro-differential systems with nonlocal condition through resolvent operators

Published Online: Mar 02, 2019

Page range: 107 - 124

Received: Feb 20, 2018

Accepted: Mar 30, 2018

DOI: https://doi.org/10.2478/auom-2019-0006

KeywordsFractional calculus, integro-differential equations, nonlocal condition, resolvent operators, Banach and Krasnoselskii fixed point theorem

© 2019 D. Mallika et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Fractional calculus, integro-differential equations, nonlocal condition, resolvent operators, Banach and Krasnoselskii fixed point theorem