Positive solutions for fractional integro-boundary value problem of order \((1,2)\) on an unbounded domain. (English) Zbl 1434.34011
Summary: In this manuscript, we study a system of fractional integro boundary value problem on unbounded domain. The solution of the system is defined in terms of the Green’s function. We have established the existence and uniqueness results by utilizing thefixed point theorems. The main outcomes and assumptions are verified via some examples.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B40 | Boundary value problems on infinite intervals for ordinary differential equations |
| 34B27 | Green’s functions for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
existence of solution; boundary value problems; Riemann-Liouville fractional derivative; infinite interval; fixed point theoremsReferences:
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