Existence Results for Multi-term Nonlinear Sequential Fractional Integro-differential Equations with Three-point Nonlocal Fractional Boundary Conditions
Posted: 19 Nov 2018
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: 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
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