Existence and Uniqueness for Multi-Term Sequential Fractional Integro-Differential Equations with Non-Local Boundary Conditions

Authors

Djamila Chergui, Laboratory of Dynamical Systems and Control, University of Oum El Bouaghi, AlgeriaFollow
Ahcene Merad, Laboratory of Dynamical Systems and Control, University of Oum El Bouaghi, AlgeriaFollow
Marwan M. Abdeldayem, Applied Science University (ASU), East Eker, Manama, Kingdom of BahrainFollow
Archer Heindric, School of Art, Design, and Architecture, University of Huddersfield, UKFollow

Author Country (or Countries)

Algeria

Abstract

In this paper we present a new type of non-local multi-point boundary value problems of Caputo type sequential fractional integro-differential equations. The paper shows that existence and uniqueness results can be obtained using standard tools of fixed point theorem. An application to illustrate the power of the obtained results on quantum information theory is discussed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150304

Recommended Citation

Chergui, Djamila; Merad, Ahcene; M. Abdeldayem, Marwan; and Heindric, Archer (2021) "Existence and Uniqueness for Multi-Term Sequential Fractional Integro-Differential Equations with Non-Local Boundary Conditions," Applied Mathematics & Information Sciences: Vol. 15: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/amis/150304
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss3/4