On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative. (English) Zbl 1390.34014
Summary: In this paper, we study some new nonlinear boundary value problems of Liouville-Caputo type fractional differential equations supplemented with nonlocal multi-point conditions involving lower order fractional derivative. We make use of some well known tools of the fixed point theory to establish the existence of solutions for problems at hand. For illustration of the obtained results, several examples are discussed.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
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