On fractional differential inclusion problems involving fractional order derivative with respect to another function. (English) Zbl 1487.34009
Summary: In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for \(\varphi\)-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A60 | Ordinary differential inclusions |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
Keywords:
\(g\)-Riemann-Liouville fractional derivative; \(g\)-Caputo fractional derivative; inclusion; endpoint theoryReferences:
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