Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations

Jia Mu

Abstract and Applied Analysis, 2011, vol. 2011, 1-18

Abstract:

We mainly study the fractional evolution equation in an ordered Banach space ð ‘‹ ð ¶ ð · ð ‘Ž 0 + ð ‘¢ ( ð ‘¡ ) + ð ´ ð ‘¢ ( ð ‘¡ ) = ð ‘“ ( ð ‘¡ , ð ‘¢ ( ð ‘¡ ) , ð º ð ‘¢ ( ð ‘¡ ) ) , 1 < ð ›¼ < 2 , ð ‘¢ ( 0 ) = ð ‘¥ ∈ ð ‘‹ , ð ‘¢ î…ž ( 0 ) = 𠜃 . Using the monotone iterative technique based on lower and upper solutions, the existence and uniqueness results are obtained. The necessary perturbation results for accomplishing this approach are also developed.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:968735

DOI: 10.1155/2011/968735

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