Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces | Zendy

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Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces

Author(s) -

Jia Mu

Publication year - 2011

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2011/767186

Subject(s) - monotone polygon , banach space , mathematics , nonlinear system , class (philosophy) , initial value problem , mathematical analysis , pure mathematics , computer science , physics , geometry , quantum mechanics , artificial intelligence

We investigate the initial value problem for a class of fractionalevolution equations in a Banach space. Under some monotone conditions and noncompactnessmeasure conditions of the nonlinearity, the well-known monotone iterative technique is thenextended for fractional evolution equations which provides computable monotone sequencesthat converge to the extremal solutions in a sector generated by upper and lower solutions. Anexample to illustrate the applications of the main results is given

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