Fractional differential and integral operations via cumulative approach
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DOI: 10.1002/mma.5450
Abstract: In this study, a fractal operator model of cumulative processes is described. Accordingly, differential and integral operators of the fractional calculus are derived by the fractal operator model of a cumulative process. In order to… read more here.
Keywords: integral operations; differential integral; approach fractional; cumulative approach ... See more keywords
Fractional powers of the noncommutative Fourier's law by the S‐spectrum approach
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DOI: 10.1002/mma.5466
Abstract: Let eℓ, for ℓ = 1,2,3, be orthogonal unit vectors in R3 and let Ω⊂R3 be a bounded open set with smooth boundary ∂Ω. Denoting by x_ a point in Ω, the heat equation, for nonhomogeneous materials,… read more here.
Keywords: fourier law; law; fractional powers; spectrum approach ... See more keywords
A new approach to fractional differential equations
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DOI: 10.2298/tsci23s1301a
Abstract: In this work, we define fractional derivative of order ? > 0, with no restrictions on the domain of the function, and give its geometry. We derive some rules and properties for the proposed new… read more here.
Keywords: new approach; fractional differential; differential equations; order ... See more keywords