Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation. (English) Zbl 1513.34095
Summary: A brief analysis of boundary value problem of Caputo fractional differential equation with nonlocal flux multi-point boundary conditions has been done. The investigation depends on the Banach fixed point theorem, Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk, fixed point theorem due to O’Regan. Relevant examples illustrating the main results are also constructed.
MSC:
34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
34A08 | Fractional ordinary differential equations |
34B16 | Singular nonlinear boundary value problems for ordinary differential equations |