Monotone iterative method for a class of nonlinear fractional differential equations on unbounded domains in Banach spaces. (English) Zbl 1513.45036
Summary: In this paper, we investigate the existence of minimal nonnegative solution for a class of nonlinear fractional integro-differential equations on semi-infinite intervals in Banach spaces by applying the cone theory and the monotone iterative technique. An example is given for the illustration of main results.
MSC:
| 45L05 | Theoretical approximation of solutions to integral equations |
| 26A33 | Fractional derivatives and integrals |
| 45N05 | Abstract integral equations, integral equations in abstract spaces |
| 45J05 | Integro-ordinary differential equations |
Keywords:
nonlinear fractional integro-differential equations; ordered Banach spaces; cone theory and partial ordering; monotone iterative technique; infinite intervalReferences:
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