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Solutions to boundary value problem of fractional order on unbounded domains in a Banach space. (English) Zbl 1250.34007
Summary: By means of Darbo’s fixed point theorem, we establish the existence of solutions to a boundary value problem of a fractional differential equation on the half-line in a Banach space. An example illustrating our main result is given.
MSC:
34A08Fractional differential equations
34B40Boundary value problems for ODE on infinite intervals
47N20Applications of operator theory to differential and integral equations
34G20Nonlinear ODE in abstract spaces
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