Existence Results for Multi-term Nonlinear Sequential Fractional Integro-differential Equations with Three-point Nonlocal Fractional Boundary Conditions

Posted: 19 Nov 2018

See all articles by Aouafi Rabia

Aouafi Rabia

Abbes Laghrour Khenchela University

Nacer Adjeroud

Abbes Laghrour Khenchela University

Date Written: July 2018

Abstract

We study a new class of boundary value problems of multi-term nonlinear sequential fractional integro-differential equations with three-point nonlocal fractional boundary conditions. Some existence and uniqueness results are obtained by using standard fixed point theorems. An example is given to illustrate our results.

Keywords: Fractional integro-differential equation; sequential fractional derivative; fractional boundary conditions; fixed point theorems.

Suggested Citation

Rabia, Aouafi and Adjeroud, Nacer, Existence Results for Multi-term Nonlinear Sequential Fractional Integro-differential Equations with Three-point Nonlocal Fractional Boundary Conditions (July 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018, Available at SSRN: https://ssrn.com/abstract=3286236

Aouafi Rabia (Contact Author)

Abbes Laghrour Khenchela University ( email )

Khenchela
Algeria

Nacer Adjeroud

Abbes Laghrour Khenchela University ( email )

Khenchela
Algeria

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