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Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions

Saïd Abbas;  Eman Alaidarous;  Wafaa Albarakati;  Mouffak Benchohra — 2015

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper we use the upper and lower solutions method combined with Schauder's fixed point theorem and a fixed point theorem for condensing multivalued maps due to Martelli to investigate the existence of solutions for some classes of partial Hadamard fractional integral equations and inclusions.

New existence and stability results for partial fractional differential inclusions with multiple delay

Saïd Abbas;  Wafaa A. Albarakati;  Mouffak Benchohra;  Mohamed Abdalla Darwish;  Eman M. Hilal — 2015

Annales Polonici Mathematici

We discuss the existence of solutions and Ulam's type stability concepts for a class of partial functional fractional differential inclusions with noninstantaneous impulses and a nonconvex valued right hand side in Banach spaces. An example is provided to illustrate our results.

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