Topics in Fractional Differential Equations: 27 by Saïd Abbas,Mouffak Benchohra,Gaston M. N'Guérékata

By Saïd Abbas,Mouffak Benchohra,Gaston M. N'Guérékata

​​​ issues in Fractional Differential Equations is dedicated to the lifestyles and area of expertise of options for varied periods of Darboux difficulties for hyperbolic differential equations or inclusions related to the Caputo fractional derivative. ​​Fractional calculus generalizes the integrals and derivatives to non-integer orders. over the past decade, fractional calculus used to be chanced on to play a primary position within the modeling of various phenomena; particularly the modeling of memory-dependent and intricate media corresponding to porous media. It has emerged as a tremendous software for the research of dynamical structures the place classical equipment demonstrate powerful barriers. a few equations current delays that could be finite, countless, or state-dependent. Others are topic to an impulsive influence. The above difficulties are studied utilizing the fastened aspect method, the strategy of higher and decrease resolution, and the Kuratowski degree of noncompactness. This booklet is addressed to a large viewers of experts reminiscent of mathematicians, engineers, biologists, and physicists. ​

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