Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup | Zendy

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Existence of Mild Solutions for a Class of Fractional Evolution Equations with Compact Analytic Semigroup

Author(s) -

He Yang

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/903518

Subject(s) - mathematics , semigroup , class (philosophy) , analytic semigroup , fractional calculus , nonlinear system , pure mathematics , mathematical analysis , physics , quantum mechanics , artificial intelligence , computer science

This paper deals with the existence of mild solutions for a class of fractional evolution equations with compact analytic semigroup. We prove the existence of mild solutions, assuming that the nonlinear part satisfies some local growth conditions in fractional power spaces. An example is also given to illustrate the applicability of abstract results

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