Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces
Copyright policy )Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces
We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well‐known monotone iterative technique is then extended for fractional evolution equations which provides computable monotone sequences that converge to the extremal solutions in a sector generated by upper and lower solutions. An example to illustrate the applications of the main results is given.
- Northwest Normal University China (People's Republic of)
- Northeast Normal University China (People's Republic of)
Banach space, QA1-939, fractional evolution equations, monotone iterative technique, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, Fractional partial differential equations, Mathematics
Banach space, QA1-939, fractional evolution equations, monotone iterative technique, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, Fractional partial differential equations, Mathematics
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