A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions. (English) Zbl 1485.34029
Summary: This note is concerned with establishing the existence of solutions to a fractional differential inclusion of a \(\psi\)-Caputo-type with a nonlocal integral boundary condition. Using the concept of the endpoint theorem for \(\phi\)-weak contractive maps, we investigate the existence of solutions to the proposed problem. An example is provided at the end to clarify the theoretical result.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
Riemann-Liouville fractional derivative with respect to another function; Caputo fractional derivative with respect to another function; fractional differential inclusion; \(\phi\)-weak contractiveReferences:
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