A New Introduction to Riemann-Liouville Fractional Sobolev Spaces within Time Scale Frameworks
Keywords:
Time scales calculus, Fractional sobolev spaces, Riemann-Liouville fractional derivativeAbstract
We present a new concept of Riemann-Liouville Fractional Sobolev Spaces in the context of time scale calculus in this paper. This novel method unifies continuous and discrete analysis by extending conventional fractional Sobolev space theory to dynamic domains. Our study’s primary contribution is the first description of L_{Δ}^{p}-representability in relation to time scales, which lays the groundwork for future advancements in fractional dynamic equations. Our findings offer novel ideas regarding fractional.
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