Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables. (English) Zbl 1391.34021
Summary: In this paper, different height functions of the nonlinear term on special bounded sets together with Leggett-Williams and Krasnosel’skii fixed point theorems are employed to establish the existence of triple positive solutions for a class of higher-order fractional differential equations with integral conditions. The singularities are with respect not only to the time but also to the space variables.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
| 34B16 | Singular nonlinear boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
fractional differential equations; integral conditions; triple positive solution; singularity on space variableReferences:
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