An analysis of controllability results for nonlinear Hilfer neutral fractional derivatives with non-dense domain. (English) Zbl 1498.34215
Summary: In this article, the controllability results of the non-dense Hilfer neutral fractional derivative (HNFD) are presented. The results are acknowledged using semigroup theory, fractional calculus, Banach contraction principle, and Mönch technique. Moreover, a numerical analysis is given to enhance our model.
MSC:
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K30 | Functional-differential equations in abstract spaces |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 47H08 | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. |
| 93B05 | Controllability |
Keywords:
Hilfer derivative; controllability; non-dense domain; Banach space; fixed point; fractional differential equationsReferences:
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