UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2

Title & Authors
UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2
Shu, Xiao-Bao; Xu, Fei;

Abstract
In this work, we investigate the existence of the extremal solutions for a class of fractional partial differential equations with order 1 < $\small{{\alpha}}$ < 2 by upper and lower solution method. Using the theory of Hausdorff measure of noncompactness, a series of results about the solutions to such differential equations is obtained.
Keywords
fractional partial differential equation;mild solution;upper and lower solution method;Hausdorff measure of noncompactness;
Language
English
Cited by
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