Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations
Copyright policy )Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations
We mainly study the fractional evolution equation in an ordered Banach space X , 1 < α < 2, u(0) = x ∈ X, u′(0) = θ. 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.
- Northeast Normal University China (People's Republic of)
- Northwest Normal University China (People's Republic of)
lower and upper solutions, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Numerical methods for initial value problems involving ordinary differential equations, fractional evolution equation, QA1-939, monotone iterative technique, ordered Banach space, perturbation results, Mathematics, Theoretical approximation of solutions to ordinary differential equations
lower and upper solutions, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Numerical methods for initial value problems involving ordinary differential equations, fractional evolution equation, QA1-939, monotone iterative technique, ordered Banach space, perturbation results, Mathematics, Theoretical approximation of solutions to ordinary differential equations
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