Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
Copyright policy )Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method. Based on this result, we derive the existence of mild solutions for nonlocal fractional differential equations when the nonlocal item is assumed to be Lipschitz continuous and neither Lipschitz nor compact, respectively. An example is also given to illustrate our theory.
- University of the French West Indies and Guiana Guadeloupe
- Changshu Institute of Technology China (People's Republic of)
QA1-939, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics, existence of mild solutions
QA1-939, Fractional ordinary differential equations, Nonlinear differential equations in abstract spaces, Nonlocal and multipoint boundary value problems for ordinary differential equations, Mathematics, existence of mild solutions
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