Cauchy problems and inverse problems in partial differential equations (PDEs) represent a class of challenging mathematical models where one seeks to determine unknown data inside a domain from ...
We consider a nonautonomous impulsive Cauchy problem of parabolic type involving a nonlocal initial condition in a Banach space X, where the operators in linear part (possibly unbounded) depend on ...
Proceedings of the American Mathematical Society, Vol. 142, No. 5 (MAY 2014), pp. 1717-1731 (15 pages) Fractional derivatives can be used to model time delays in a diffusion process. When the order of ...
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