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Existence results for delay second order differential inclusions

Dalila Azzam-Laouir, Tahar Haddad (2008)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, some fixed point principle is applied to prove the existence of solutions for delay second order differential inclusions with three-point boundary conditions in the context of a separable Banach space. A topological property of the solutions set is also established.

Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces

Zuomao Yan (2010)

Annales Polonici Mathematici

The paper establishes a sufficient condition for the existence of mild solutions of fractional functional integrodifferential equations with nonlocal conditions in Banach spaces. Our approach is based on Schaefer's fixed point theorem combined with the use of strongly continuous operator semigroups. As an application, we also consider a fractional partial functional integrodifferential equation.

Existence results for impulsive fractional differential equations with p -Laplacian via variational methods

John R. Graef, Shapour Heidarkhani, Lingju Kong, Shahin Moradi (2022)

Mathematica Bohemica

This paper presents several sufficient conditions for the existence of at least one classical solution to impulsive fractional differential equations with a p -Laplacian and Dirichlet boundary conditions. Our technical approach is based on variational methods. Some recent results are extended and improved. Moreover, a concrete example of an application is presented.

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